Ratios & Proportions

Problem 201

139. Dave counted a total of 9 dogs and cats at a shelter. Which of the following could be the ratio of dogs to cats at the shelter? (A) $1: 2$ (B) $1: 3$ (C) $1: 4$ (D) $1: 5$ (E) $1: 6$

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Problem 202

Find each unit price and decide which is the better buy Assume that we are compas brand
Frozen orange juice: $\$ 1.53$ for 14 ounces $\$ 0.53$ for 4 ounces
Find the unit price of a frozen orange juice which casts \ $1.53 for 14 ounces. \$$ \square $per ounce (Type a whole number or a decimal. Round to three decimal places as needed.) Find the unit price of a frozen orange juice which costs$ \ $0.53$ for 4 ounces. \\square $per ounce (Type a whole number or a decimal. Round to three decimal places as needed.) Which is the better buy? A.$ \ $0.53$ for 4 ounces

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Problem 203

Magnesium bromide, $\mathrm{MgBr}_{2}$ react with silver nitrate, $\mathrm{AgNO}_{3}$ accc the following equation: $\mathrm{MgBr}_{2}+2 \mathrm{AgNO}_{3} \rightarrow \mathrm{Mg}\left(\mathrm{NO}_{3}\right)_{2}+2 \mathrm{AgBr}$
In a reaction of 20 g of $\mathrm{MgBr}_{2}$ and a 25 mL of $0.5 \mathrm{M} \mathrm{AgNO}_{3}$ , Determine the limiting reactant. Calculate the amount of AgBr produced. Calculate the mass of excess reactant remaining after the reaction is completed.

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Problem 204

9. A Kenyan businessman owes US $\$ 100,000$ to a company in the United States of America. The Kenyan can either pay through his account in Kenya or through his account in the United Kingdom. Which method is cheaper and by how much? (Give your answer in Kenyan shillings given that:1 US doilar = 28.74 Kenyan shillings. 1 Sterling pound =1.79 US dollar 1 Sterling pound $=50.80$ Kenyan shillings

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Problem 205

Sixth grade S.15 Compare rates: word problems NAF Video
Rob loves to snowboard in the winter, so he is looking at the cost of ski lift tickets for different mountains. Peak Point is selling 5-day packs for $\$ 275.60$ . Grand Mountain is selling 3 -day packs for $\$ 174.75$ . Which mountain offers the better deal?
Peak Point Grand Mountain
Submit

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Problem 206

2. Reduce the ratio to its lowest possible terms: 24 : 42

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Problem 207

Dillon and Samantha work at two different grocery stores. Dillon made $\$ 41.50$ for working 5 hours and Samantha made $\$ 50.40$ for 6 hours. Who makes more money per hour?
Dillon Samantha Submit

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Problem 208

4. A sign at a store says that 5 lemons cost $\$ 2.75$ . a. How much would 15 lemons cost? 8.25 $\begin{array}{r}22.75 \\ +2.75 \\ 2.15 \\ \hline \\ \hline\end{array}$ b. How much would 7 lemons cost? Show or explain your thinking.

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Problem 209

A 2 -yard roll of brown paper costs $\$ 0.25$ . What is the unit price, rounded to the nearest nt? J) $\$$ $\square$ per yard Submit

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Problem 210

A 4-pack of hot dogs costs $\$ 3.98$ . What is the unit price, rounded to the nearest cent? \\square$ per hot dog Submit

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Problem 211

th grade X. 2 Unit prices UKD
A 7 -kilogram bag of gravel costs $\$ 4.41$ . What is the unit price? \\square$ per kilogram Submit Work it out Not feeling ready yet? These can help:

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Problem 212

A 5 -kilogram bag of rice costs $\$ 13.83$ . What is the unit price, rounded to the nearest cent? \\square$ per kilogram Submit

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Problem 213

Which is the better buy?
2-pack of light bulbs for $\$ 2.76$
7-pack of light bulbs for $\$ 9.24$ Submit

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Problem 214

Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10 minutes. On her way home, she took a different route through a park, and rode 3 miles in 15 minutes. On which route did Debbie ride at a faster pace? going to school going home
Submit
Work it out Not feeling ready yet? These can help:

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Problem 215

Video
Abigail is buying new chairs to upgrade her restaurant. A set of 6 wooden chairs costs $\$ 444$ . A set of 8 metal chairs costs $\$ 720$ . How much more do the metal chairs cost per chair? \\square$ per chair Submit

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Problem 216

Mike is buying a box of juice pouches. Flav-O-Squeeze costs $\$ 5.88$ for 12 pouches. Turbo Taste costs $\$ 10.20$ for 20 pouches. How much more does Turbo Taste cost per pouch? \\square$ per pouch Submit

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Problem 217

Which is the better buy?
3-pound bag of gravel for $\$ 5.81$
8-pound bag of gravel for $\$ 15.18$
Submit Next up Done for now? Try thes
Unit prices with customary unit conversions

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Problem 218

Which is the better buy?
2-pound bag of potting soil for $\$ 0.77$
6-pound bag of potting soil for $\$ 2.20$ Submit

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Problem 219

hat is the ratio of consonants to letters?
SEPTEMBER

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Problem 220

What is the ratio of syllables to vowels?
ANCILLARY

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Problem 221

The ratio an a keyboard of number keys to letter keys is $5: 13$ . If a marufocturer produced 156 letter kers, then how many number keys would need to be produced?
Ariano is baking chocolate chip cookies for a bake sale. For every 3 cups of flour, she needs 2 cups of sugar. How many cups of sugar will she need if she has measured 18 cups of flour?
Walter is fencing in his backyard. For every 25 fence boards, he needs 3 metal posts. How mary metal posts wit he need for 200 fence boards?
Frametastic produces rectangular picture frames. The ratio of the length to the width in inches is $7: 5$ . What would be the length of a frame that is 15 inches wide?

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Problem 222

Walter is fencing in his backyard. For every 25 fence boards, he needs 3 metal posts. How many metal posts will he need for 200 fence boards? (c)Maneuvering the Middle LLC, 2015

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Problem 223

For Questions 2-4, determine which option is less expensive Explain your thinking.
2. 7.items for, $\$ 1,1$ , or 10 items for $\$ 20$

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Problem 224

6. Why might you want to determine the price of 3 items, instead of the price of one, to compare $\frac{\text { bitems }}{\$ 32}$ versus $\frac{9 \text { items }}{\$ 50}$ ?

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Problem 225

buring more items. (A) 54.16 (B) $\$ 19.49$ (C) $\$ 20.80$ (D) $\$ 20.99$

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Problem 226

Leighton bought 10 bagels for $\$ 11.90$ . Charlize paid the same amount for 12 bagels. fow much more did Leighton pay per bagel than Charlize?

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Problem 227

Are the ratios 20:10 and $4: 2$ equivalent? yes no

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Problem 228

James has some apples and oranges. The ratio of apples and oranges is $2: 5$ He has 15 oranges. How many apples does James have?

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Problem 229

Some film-makers used 80 minutes of footage to make a documentary. They recorded an extra 40 hours of unused footage. What is the ratio of used footage to unused footage? Give your answer in its simplest form.

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Problem 230

Schlüsselkonzept: Integral Rekonstruieren einer Größe
1. Berechnen Sie jeweils die fehlenden Werte. \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline Gefahrene Strecke & 150 km & 220 km & 10 km & & & 225 km & \\ \hline Zeit & 2 h & $2,5 \mathrm{~h}$ & 30 min & 2 h & 4 h & & 20 min \\ \hline \begin{tabular}{l} Durchschnittliche \\ Geschwindigkeit \end{tabular} & & & & $100 \mathrm{~km} / \mathrm{h}$ & $70 \mathrm{~km} / \mathrm{h}$ & $150 \mathrm{~km} / \mathrm{h}$ & $30 \mathrm{~km} / \mathrm{h}$ \\ \hline \end{tabular}

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Problem 231

2. Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL . The mercury used to fill the cylinder masses at 306.0 g . From this information, calculate the density of mercury.

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Problem 232

One grain of this sand approximately weighs $7 \times 10^{-5} \mathrm{~g}$ . b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

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Problem 233

8. The average weight of 3 boys is 120 pounds and the average weight of 2 girls is 105 pounds. What is the average weight, in pounds, of all 5 children? (A) 92.5 (B) 110 (C) 112.5 (D) 114
114 5 \longdiv { 5 7 0 } $\frac{54}{07} 1$ $\frac{5}{20}$ (E) 116

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Problem 234

$\left(\begin{array}{c} 6 \\ \uparrow \\ \uparrow \end{array}\right.$
11. The " 6 " in place $P$ in the numeral above has a value how many times the value of the " 6 " in place $Q$ ? (A) 10,000 (B) 1,000 (C) 100 (D) 10 (E) 1

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Problem 235

2. Ms. Vizzari purchased 972 square yards of carpet for $\$ 17,496$ . What was her cost per square foot? (A) $\$ 18.00$ (B) $\$ 9.75$ (C) $\$ 6.00$ (D) $\$ 2.00$ (E) $\$ 1.25$

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Problem 236

If a candle company can fit 8 candles in each shipping box, how many boxes should they use to ship an order of 56 candles? $\square$ boxes

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Problem 237

8. Convert 5 pints per minute to cups per second.

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Problem 238

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $f_{x}$ button to type out math expressions, fractions, and symbols more easily

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Problem 239

Complete the parts below. Write your answers as whole numbers or fractions in simplest form. (a) Kareem feeds his farm animals bushels of hay. The animals eat 32 bushels of hay in 8 days. Give two different unit fat using this relationship.
One unit rate: (Choose one) $\square$ per $\square$ Another unit rate: $\square$ (Choose one) $\square$ per $\square$ (b) Assume the animals eat the same amount of hay each day. How many bushels of hay do the animals eat in 9 days? $\square$ bushels

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Problem 240

Shira counted 330 cars passing through an intersection one afternoon. She found that 3 out of every 10 cars was an SUV. How many SUVs did Shira count going through the intersection? 1, 100 SUVs 33 SUVs 11 SUVs 99 SUVs

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Problem 241

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{10 \mathrm{~mm}}{1 \mathrm{~cm}} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{1 \mathrm{~mm}}{10 \mathrm{~cm}} \times \frac{1 \text { year }}{365 \text { days }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{1 \mathrm{~cm}}{10 \mathrm{~mm}} \times \frac{365 \text { days }}{1 \text { year }}$ $\frac{4 \mathrm{~cm}}{1 \text { year }} \times \frac{10 \mathrm{~mm}}{1 \mathrm{~cm}} \times \frac{365 \text { days }}{1 \text { year }}$

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Problem 242

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard. 36 characters 144 characters 360 characters 432 characters

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Problem 243

Toilet rolls come in packs of 4 and 9
The 4-pack is priced at $£ 2.04$ The 9-pack is priced at $£ 4.68$
By calculating the price per roll, determine which pack is better value. Show your working. Show your working

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Problem 244

$3.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}$

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Problem 245

Challenge A car is traveling at a steady speed. It travels $2 \frac{1}{3}$ miles in $3 \frac{1}{2}$ minutes. How far will it travel in 44 minutes? In 1 hour?
The car will travel $\square$ miles in 44 minutes. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 246

Part 1 of 2
Think About the Process The weight of Michael's new puppy is represented by the table. The weight of Amy's new puppy is represented by the graph. How can you convert pounds to ounces? Whose dog gains weight faster? \begin{tabular}{|l|c|c|c|} \hline \multicolumn{4}{|c|}{ Weight of Michael's Puppy } \\ \hline Age (months) & 1 & 2 & 3 \\ \hline Weight (pounds) & 8.5 & 17.0 & 25.5 \\ \hline \end{tabular}
Weight of Amy's Puppy
How can you convert pounds to ounces? A. Divide the number of pounds by 16. B. Multiply the number of ounces by 16 . C. Multiply the number of pounds by 16 . D. Divide the number of ounces by 16 .

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Problem 247

Question 5 (1 point) How many mm^2 are in $0.65 \mathrm{~km}^{\wedge} 2$ ? $4.2 \times 10^{\wedge} 12 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge} 5 \mathrm{~mm} \wedge 2$ $6.5 \times 10^{\wedge} 11 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge}-13 \mathrm{~mm}^{\wedge} 2$ $6.5 \times 10^{\wedge}-7 \mathrm{~mm}^{\wedge} 2$

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Problem 248

■ FLAG
A nurse is preparing to administer dextrose $5 \%$ in water $\left(D_{5} \mathrm{~W}\right) 1 \mathrm{LIV}$ to infuse over 12 hr . The drop factor of the manual IV tubing is $15 \mathrm{gtt} / \mathrm{mL}$ . The nurse should set the manual IV infusion to deliver how many gtt/min? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ gtt/min
PREVIOUS continue

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Problem 249

hich pair of ratios does not form a true proportion? :14 and 20:35 B. 6 to 10 and 15 to 25 C. $\frac{9}{4}$ and $\frac{36}{16}$ D. $12: 15$ and $30: 40$

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Problem 250

(83. Lead ions can be precipitated from solution with KCl according to the reaction: $\mathrm{Pb}^{2+}(a q)+2 \mathrm{KCl}(a q) \longrightarrow \mathrm{PbCl}_{2}(s)+2 \mathrm{~K}^{+}(a q)$
When 28.5 g KCl is added to a solution containing $25.7 \mathrm{~g} \mathrm{~Pb}^{2+}$ , a $\mathrm{PbCl}_{2}$ precipitate forms. The precipitate is filtered and dried and found to have a mass of 29.4 g . Determine the limiting reactant, theoretical yield of $\mathrm{PbCl}_{2}$ , and percent yield for the reaction.

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Problem 251

What is the price per oz to the nearest cent of the least expensive: 15 oz for $\$ 3.58$ or 25 oz for $\$ 4.25$ ? 0.24 0.19 0.21 0.17

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Problem 252

Find the unit price rounded to the nearest cent: 8.2 lbs for $\$ 6.24$ . \ $0.76$ \ $0.91$ $\$ 0.90$ $\$ 0.79$

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Problem 253

A car wash team at a fund-raiser can wash 1 car in pminutes. How many cars can the team wash in 48 minutes? A. 7 cars B. 6 cars C. 56 cars D. 384 cars

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Problem 254

A librarian needs to package up all of the children's books and move them to a different location in the library. There are 625 books, and she can fit 25 books in one box. How many boxe does she need in order to move all of the books? A. 5 B. 25 C. 125 D. 600 E. 650

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Problem 255

The upper therapeutic drug concentration for Vancomycin is considered to be $40 \mu \mathrm{~g} / \mathrm{ml}$ . Express this value in terms of $\mathrm{mg} / \mathrm{dL}$ . A. None is correct. B. All are correct C. $4.0 \mathrm{mg} / \mathrm{dL}$ D. $0.4 \mathrm{mg} / \mathrm{dL}$ E. $4.0 \mathrm{ng} / \mathrm{dL}$

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Problem 256

The table shows the ingredients in a fruit salad recipe. How many cups of pineapple are there for 3 cups of watermelon?
Now, keep the ratio the same and find the unknown value. $\times \frac{1}{3} \hookrightarrow$ \begin{tabular}{|c|c|} \hline Watermelon (cups) & Pineapple (cups) \\ \hline 9 & 18 \\ \hline 3 & $\square$ \\ \hline \end{tabular}
1 2 3 4 5 6 7 8 9 0 Enter Sign out

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Problem 257

Question $12 / 29$
Cefaclor is a medication used for infections. It is often given in liquid form by mixing the powdered medication with a fluid. A pharmacist is mixing a dosage for a child. The instructions indicate that 125 mg of the medication should be mixed with 5 mL of fluid. If the child only requires a dosage of 50 mg of Cefaclor, how much fluid should the pharmacist use? $\square$ mL

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Problem 258

Marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes?
What is the greatest number of packages of soap and toothbrushes that Marcus can make?
Marcus can make at most $\square$ packages.

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Problem 259

Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants to know the least number of packs of hot dogs and buns he needs to buy so that he does not have any left over. \begin{tabular}{|l|c|c|c|c|c|} \hline ()) Packs & 1 & 2 & 3 & 4 & 5 \\ \hline ھ) Hot Dogs & 10 & 20 & 30 & 40 & 50 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline 4) Packs & 1 & 2 & 3 & 4 & 5 \\ \hline ()) Buns & 8 & 16 & 24 & 32 & 40 \\ \hline \end{tabular}
What is the least number of packs of hot dogs and buns Tommy needs to buy so he doesn't have any left over? packs of hot dogs: $\square$ ? packs of buns: $\square$ ? Tommy needs to buy 40 hot dogs and there are 10 hot dogs in each pack. He needs to buy 40 buns and there are 8 buns in each pack.

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Problem 260

[］ FLAG
A nurse is preparing to administer famotidine 20 mg by intermittent IV bolus now. Available is famotidine $\mathbf{2 0} \mathbf{m g}$ in 100 mL dextrose $\mathbf{5 \%}$ ( $\mathrm{D}_{\mathbf{s}} \mathrm{W}$ ) to infuse over 15 min . The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ $\mathrm{mL} / \mathrm{hr}$
PREVIOUS CONTINUE

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Problem 261

A nurse is preparing to administer clindamycin 900 mg by intermittent IV bolus over $\mathbf{4 5 ~ m i n}$ . Available is clindamycin 900 mg in 100 mL dextrose $5 \%$ ( $\mathrm{D}_{5} \mathrm{~W}$ ). The nurse should set the IV pump to deliver how many $\mathrm{mL} / \mathrm{hr}$ ? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ $\mathrm{mL} / \mathrm{hr}$
PREVIOUS CONTINUE

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Problem 262

For the following order, calculate the drops per minute (answer using a numerical value only; round to the nearest whole number): $\qquad$ $\mathrm{gtt} / \mathrm{min}$ Order: 100 mL LR IV 12 noon-6 pm Supply: IV bag of 250 mL of LR Available: microdrip tubing $60 \mathrm{gtt} / \mathrm{mL}$

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Problem 263

Which is a better estimate for the volume of a bottle of glue?
44 cups 44 teaspoons Submit

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Problem 264

104. A television station has 20 min of advertising each hour. How many 30 -second ( $\frac{1}{2}-\mathrm{min}$ ) commercials can be run in a. 1 hr b. 1 day

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Problem 265

Selecting among the digits 1 through 7 and repeating none of them, make the largest possible quotient. (Assum $\square$ $\square$ $\square$ $x$ $\square$

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Problem 266

I CAN ADDLY RATIOS TO SOIVE REAL-WORLD
11. A florist uses 160 roses to make 5 identical flower arrangements. How many roses would the florist use to create 8 identical arrangements? Set up a proportion to solve.

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Problem 267

14. In the high school band there are 2 percussionists on the sideline to every 13 marching instruments. If the high school band has 150 total members, then how many percussionists are on the sideline? Find the scale factor and use it to solve.

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Problem 268

AN REDRESENT DATES.
19. Using the rate 12 inches per 1 foot, complete the table below, graph your values, and then answer the question. Let $x$ represent the number of feet and $y$ represent the number of inches. \begin{tabular}{|l|l|l|l|l|l|} \hline $X$ & & & & & \\ \hline $Y$ & & & & & \\ \hline \end{tabular}
How many inches are in 8 feet?

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Problem 269

I CAN ADDLY RATES TO SOIVE REAL-WORLD
20. Yvonne paid $\$ 18.72$ for 8 gallons of gas. She then passed by another gas station advertising $\$ 2.29$ per gallon. How much money would she have saved if she had waited and purchased gas at the second location?

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Problem 270

The diameter of the Agrippa crater, located on the moon, is 46 kilometers. Earth's diameter is 277 times as long as the diameter of the crater. What is Earth's diameter?

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Problem 271

How many $\frac{4}{5}$ s are in 4? (f)
There are $\square$ groups of $\frac{4}{5}$ in 4.

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Problem 272

QUESTION 7 If there are 15 flowers in 3 pots, how many flowers are in I pot? A. 5 C. 15 B. 3 D. 4 A B C D

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Problem 273

Part 1 of 2 Penny reads 14 pages in $\frac{1}{4}$ hour. What is the unit rate for pages per hour? For hours per page? $\square$ The unit rate is page(s) per hour. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

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Problem 274

day
2. 12 people can fit in a wagon at one time at I Santa*s Wonderland to see the light show. If there were 54 people waiting to see the lights. how many wagons would be needed to take them?
1 A. 4 wagons B. 5 wagons G. 10 wagons D. 12 wagons

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Problem 275

8 The team traveled 1,200 miles in 20 hours. How far did they go inl hour?

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Problem 276

A machine produces 40 widgets 5 hours. How many widgets produce in 8 hours at the same

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Problem 277

Convert as indicated. 20 miles per hour $=$ $\qquad$ feet per second $\square$ feet per second (Round to the nearest whole number.)

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Problem 278

Pasta is made from 3 parts water and 5 parts flour.
Sora is making 32 ounces of pasta for a party.
1. Label the tape diagram to represent the situation.
2. How much water does Sora need to make 32 ounces of pasta? ounce
3. How much flour does Sora need to make 32 ounces of pasta?

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Problem 279

$\frac{45}{19}: 2=$

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Problem 280

9 bracelets cost $\$ 36$ . What is the unit cost?

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Problem 281

Using a Proportion \begin{tabular}{|c|c|} \hline Tables & Chairs \\ \hline 1 & 6 \\ \hline 2 & 12 \\ \hline 3 & 18 \\ \hline 4 & 24 \\ \hline 5 & 30 \\ \hline 6 & 36 \\ \hline \end{tabular}
Rachel needs two tables for her birthday party. How many chairs will she need? $\square$

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Problem 282

Answer the following regarding the letters in the word Arizona. a. Determine the ratio of vowels to consonants. b. What is the ratio of consonants to vowels? c. What is the ratio of consonants to letters in the word? a. The ratio of vowels to consonants is $\square$ $\square$

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Problem 283

What is the ratio of the number of circles to the number of squares?
The ratio of the number of circles to the number of squares is $\square$ $\square$

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Problem 284

A swim race has a total distance of 30 mi . Race officials want to mark the course every 825 yd with a buoy, Including one at the finlsh line. (The starting line does not need a buoy.) How many buoys are needed?
First fill in the blanks on the left side of the equation using three of the ratlos shown. Then write your answer on the right side of the equation.
Ratios: $\frac{3 \mathrm{ft}}{1 \mathrm{yd}}$ $\frac{1 \mathrm{yd}}{3 \mathrm{ft}}$ $\frac{825 \mathrm{yd}}{1 \text { buoy }}$ $\frac{1 \text { buoy }}{825 y d}$ $\frac{5280 \mathrm{ft}}{1 \mathrm{mi}}$ $\frac{1 \mathrm{mi}}{5280 \mathrm{ft}}$ $\begin{array}{l} \frac{30 \mathrm{mi}}{1} \times \\ \text { II } \\ =\square \text { buoys } \end{array}$

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Problem 285

Juanita says that a scale of $1 \mathrm{in} .: 0.4 \mathrm{ft}$ is equivalent to the ratio $6 \mathrm{in} .: 2.4 \mathrm{ft}$ . Do you agree? Explain why or why not.

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Problem 286

1 serving of cereal contains 15 grams of sugar. How many grams of sugar will 4 servings have?

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Problem 287

Convert the measurement as indicated. 79 cups to quarts

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Problem 288

Question: 18 of 25 Time Elapsed: 00:23:41 [] FLAG
A nurse is preparing to administer dextrose $5 \%$ in water ( $D_{5} \mathrm{~W}$ ) $\mathbf{2 5 0 ~ m L ~ I V ~ t o ~ i n f u s e ~ o v e r ~} \mathbf{4 h r}$ . The drop factor of the manual IV tubing is $\mathbf{6 0} \mathrm{gtt} / \mathrm{mL}$ . The nurse should set the manual IV infusion to deliver how many gtt/min? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.) $\square$ gtt/min PREVIOUS CONTINUE

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Problem 289

Write the phrase as an expression. the product of 3 and 12
An expression is $\square$ .

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Problem 290

(©) MP. 4 Model with Math A pet shop has 24 fish in 8 tanks with an equal number of fish in each tank. Which multiplication fact can you use to find how many fish are in each tank?

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Problem 291

$\frac{14 \text{ books}}{2 \text{ boxes}} \quad \text{and} \quad \frac{20 \text{ books}}{3 \text{ boxes}}$
Tell whether the given rates form a proportion.

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Problem 292

1 Analyze a Problem What do you know?
1. A video game storage tower has 8 shelves. Each shelf can display 12 video games. How many storage towers does a worker need to display 1,440 video games?

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Problem 293

David drives 40 miles in one hour. How many miles does he drive in 1.5 hours? A 50 B 60 C 70 A B C

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Problem 294

5. Hydrogen, helium, neon, and argon are all components of a gas mixture. The mixture has a total pressure of 93.6 kPa . Helium, neon, and argon have partial pressures of $15.4 \mathrm{kPa}, 25.7 \mathrm{kPa}$ , and 35.6 kPa , respectively. What is the partial pressure exerted by hydrogen in kPa ?

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Problem 295

Mr. Aquaphore bought 364 square feet of wallpaper for \$36,494. What was his cost per square yards?

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Problem 296

Are these ratios equivalent?
40 old necklaces : 35 new necklaces
16 old necklaces : 14 new necklaces yes no

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Problem 297

Which proportion could you use to convert 6 kilograms to grams? $\begin{array}{c} \frac{1,000 \text { grams }}{1 \text { kilogram }}= \\ \frac{6 \text { kilograms }}{\frac{1,00: 0 \text { graminss }}{1 \text { kilogram }}}= \\ \frac{? \text { grams }}{6 \text { kilograms }} \end{array}$
Convert. 6 kilograms = $\square$ grams

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Problem 298

These two ratios are equivalent: $15: 6$ and $10: 4$ .
Explain or show how you know they are equivalent.

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Problem 299

ors Unit 5 Test: Proportional Reasoning
Zoom
11. Chama told the class that her pet cat weighed 48 ounces. How many pounds did her pet cat weigh?
Enter the correct answer in the box. $\square$ pounds

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Problem 300

zearn.org/towers/1783 JPS Resources 器 Sign out M2|L14 Solving Equivalent Ratio Problems
Esther buys 6 sweatshirts for $\$ 18$ . What is the cost of 1 sweatshirt? First set up a double number line to show how much Esther pays for 6 sweatshirts.
Sweatshirts 6 $\xrightarrow{\mapsto}$
Dollars

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1 2 3 4 5 6 ...17

Ratios & Proportions

Problem 201

139. Dave counted a total of 9 dogs and cats at a shelter. Which of the following could be the ratio of dogs to cats at the shelter? (A) 1:21: 21:2 (B) 1:31: 31:3 (C) 1:41: 41:4 (D) 1:51: 51:5 (E) 1:61: 61:6

Problem 202

Problem 203

Problem 204

Problem 205

Problem 206

2. Reduce the ratio to its lowest possible terms: 24 : 42

Problem 207

Dillon and Samantha work at two different grocery stores. Dillon made $41.50\$ 41.50$41.50 for working 5 hours and Samantha made $50.40\$ 50.40$50.40 for 6 hours. Who makes more money per hour?Dillon Samantha Submit

Problem 208

4. A sign at a store says that 5 lemons cost $2.75\$ 2.75$2.75. a. How much would 15 lemons cost? 8.25 22.75+2.752.15\begin{array}{r}22.75 \\ +2.75 \\ 2.15 \\ \hline \\ \hline\end{array}22.75+2.752.15​​ b. How much would 7 lemons cost? Show or explain your thinking.

Problem 209

A 2 -yard roll of brown paper costs $0.25\$ 0.25$0.25. What is the unit price, rounded to the nearest nt? J) $\$$ □\square□ per yard Submit

Problem 210

A 4-pack of hot dogs costs $3.98\$ 3.98$3.98. What is the unit price, rounded to the nearest cent? \ \square$ per hot dog Submit

Problem 211

th grade X. 2 Unit prices UKDA 7 -kilogram bag of gravel costs $4.41\$ 4.41$4.41. What is the unit price? \ \square$ per kilogram Submit Work it out Not feeling ready yet? These can help:

Problem 212

A 5 -kilogram bag of rice costs $13.83\$ 13.83$13.83. What is the unit price, rounded to the nearest cent? \ \square$ per kilogram Submit

Problem 213

Which is the better buy?2-pack of light bulbs for $2.76\$ 2.76$2.767-pack of light bulbs for $9.24\$ 9.24$9.24 Submit

Problem 214

Problem 215

VideoAbigail is buying new chairs to upgrade her restaurant. A set of 6 wooden chairs costs $444\$ 444$444. A set of 8 metal chairs costs $720\$ 720$720. How much more do the metal chairs cost per chair? \ \square$ per chair Submit

Problem 216

Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88\$ 5.88$5.88 for 12 pouches. Turbo Taste costs $10.20\$ 10.20$10.20 for 20 pouches. How much more does Turbo Taste cost per pouch? \ \square$ per pouch Submit

Problem 217

Which is the better buy?3-pound bag of gravel for $5.81\$ 5.81$5.818-pound bag of gravel for $15.18\$ 15.18$15.18Submit Next up Done for now? Try thesUnit prices with customary unit conversions

Problem 218

Which is the better buy?2-pound bag of potting soil for $0.77\$ 0.77$0.776-pound bag of potting soil for $2.20\$ 2.20$2.20 Submit

Problem 219

hat is the ratio of consonants to letters?SEPTEMBER

Problem 220

What is the ratio of syllables to vowels?ANCILLARY

Problem 221

Problem 222

Walter is fencing in his backyard. For every 25 fence boards, he needs 3 metal posts. How many metal posts will he need for 200 fence boards? (c)Maneuvering the Middle LLC, 2015

Problem 223

For Questions 2-4, determine which option is less expensive Explain your thinking.2. 7.items for, $1,1\$ 1,1$1,1, or 10 items for $20\$ 20$20

Problem 224

6. Why might you want to determine the price of 3 items, instead of the price of one, to compare bitems $32\frac{\text { bitems }}{\$ 32}$32 bitems ​ versus 9 items $50\frac{9 \text { items }}{\$ 50}$509 items ​ ?

Problem 225

buring more items. (A) 54.16 (B) $19.49\$ 19.49$19.49 (C) $20.80\$ 20.80$20.80 (D) $20.99\$ 20.99$20.99

Problem 226

Leighton bought 10 bagels for $11.90\$ 11.90$11.90. Charlize paid the same amount for 12 bagels. fow much more did Leighton pay per bagel than Charlize?

Problem 227

Are the ratios 20:10 and 4:24: 24:2 equivalent? yes no

Problem 228

James has some apples and oranges. The ratio of apples and oranges is 2:52: 52:5 He has 15 oranges. How many apples does James have?

Problem 229

Some film-makers used 80 minutes of footage to make a documentary. They recorded an extra 40 hours of unused footage. What is the ratio of used footage to unused footage? Give your answer in its simplest form.

Problem 230

Problem 231

2. Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL . The mercury used to fill the cylinder masses at 306.0 g . From this information, calculate the density of mercury.

Problem 232

One grain of this sand approximately weighs 7×10−5 g7 \times 10^{-5} \mathrm{~g}7×10−5 g. b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

Problem 233

8. The average weight of 3 boys is 120 pounds and the average weight of 2 girls is 105 pounds. What is the average weight, in pounds, of all 5 children? (A) 92.5 (B) 110 (C) 112.5 (D) 114114 5 \longdiv { 5 7 0 } 54071\frac{54}{07} 10754​1 520\frac{5}{20}205​ (E) 116

Problem 234

(6↑↑\left(\begin{array}{c} 6 \\ \uparrow \\ \uparrow \end{array}\right.⎝⎛​6↑↑​11. The " 6 " in place PPP in the numeral above has a value how many times the value of the " 6 " in place QQQ ? (A) 10,000 (B) 1,000 (C) 100 (D) 10 (E) 1

Problem 235

2. Ms. Vizzari purchased 972 square yards of carpet for $17,496\$ 17,496$17,496. What was her cost per square foot? (A) $18.00\$ 18.00$18.00 (B) $9.75\$ 9.75$9.75 (C) $6.00\$ 6.00$6.00 (D) $2.00\$ 2.00$2.00 (E) $1.25\$ 1.25$1.25

Problem 236

If a candle company can fit 8 candles in each shipping box, how many boxes should they use to ship an order of 56 candles? □\square□ boxes

Problem 237

8. Convert 5 pints per minute to cups per second.

Problem 238

A stack of 500 pieces of paper is 1.875 inches tall.PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the fxf_{x}fx​ button to type out math expressions, fractions, and symbols more easily

Problem 239

Problem 240

Shira counted 330 cars passing through an intersection one afternoon. She found that 3 out of every 10 cars was an SUV. How many SUVs did Shira count going through the intersection? 1, 100 SUVs 33 SUVs 11 SUVs 99 SUVs

Problem 241

Problem 242

A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? There are 12 inches in a foot, and 3 feet in a yard. 36 characters 144 characters 360 characters 432 characters

Problem 243

Toilet rolls come in packs of 4 and 9The 4-pack is priced at £2.04£ 2.04£2.04 The 9-pack is priced at £4.68£ 4.68£4.68By calculating the price per roll, determine which pack is better value. Show your working. Show your working

Problem 244

3.20 g/cm3→ kg/m33.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}3.20 g/cm3→ kg/m3

139. Dave counted a total of 9 dogs and cats at a shelter. Which of the following could be the ratio of dogs to cats at the shelter? (A) $1: 2$ (B) $1: 3$ (C) $1: 4$ (D) $1: 5$ (E) $1: 6$

Dillon and Samantha work at two different grocery stores. Dillon made $\$ 41.50$ for working 5 hours and Samantha made $\$ 50.40$ for 6 hours. Who makes more money per hour?
Dillon Samantha Submit

4. A sign at a store says that 5 lemons cost $\$ 2.75$ . a. How much would 15 lemons cost? 8.25 $\begin{array}{r}22.75 \\ +2.75 \\ 2.15 \\ \hline \\ \hline\end{array}$ b. How much would 7 lemons cost? Show or explain your thinking.

A 2 -yard roll of brown paper costs $\$ 0.25$ . What is the unit price, rounded to the nearest nt? J) $\$$ $\square$ per yard Submit

A 4-pack of hot dogs costs $\$ 3.98$ . What is the unit price, rounded to the nearest cent? \\square$ per hot dog Submit

th grade X. 2 Unit prices UKD
A 7 -kilogram bag of gravel costs $\$ 4.41$ . What is the unit price? \\square$ per kilogram Submit Work it out Not feeling ready yet? These can help:

A 5 -kilogram bag of rice costs $\$ 13.83$ . What is the unit price, rounded to the nearest cent? \\square$ per kilogram Submit

Which is the better buy?
2-pack of light bulbs for $\$ 2.76$
7-pack of light bulbs for $\$ 9.24$ Submit

Video
Abigail is buying new chairs to upgrade her restaurant. A set of 6 wooden chairs costs $\$ 444$ . A set of 8 metal chairs costs $\$ 720$ . How much more do the metal chairs cost per chair? \\square$ per chair Submit

Mike is buying a box of juice pouches. Flav-O-Squeeze costs $\$ 5.88$ for 12 pouches. Turbo Taste costs $\$ 10.20$ for 20 pouches. How much more does Turbo Taste cost per pouch? \\square$ per pouch Submit

Which is the better buy?
3-pound bag of gravel for $\$ 5.81$
8-pound bag of gravel for $\$ 15.18$
Submit Next up Done for now? Try thes
Unit prices with customary unit conversions

Which is the better buy?
2-pound bag of potting soil for $\$ 0.77$
6-pound bag of potting soil for $\$ 2.20$ Submit

hat is the ratio of consonants to letters?
SEPTEMBER

What is the ratio of syllables to vowels?
ANCILLARY

For Questions 2-4, determine which option is less expensive Explain your thinking.
2. 7.items for, $\$ 1,1$ , or 10 items for $\$ 20$

6. Why might you want to determine the price of 3 items, instead of the price of one, to compare $\frac{\text { bitems }}{\$ 32}$ versus $\frac{9 \text { items }}{\$ 50}$ ?

buring more items. (A) 54.16 (B) $\$ 19.49$ (C) $\$ 20.80$ (D) $\$ 20.99$

Leighton bought 10 bagels for $\$ 11.90$ . Charlize paid the same amount for 12 bagels. fow much more did Leighton pay per bagel than Charlize?

Are the ratios 20:10 and $4: 2$ equivalent? yes no

James has some apples and oranges. The ratio of apples and oranges is $2: 5$ He has 15 oranges. How many apples does James have?

One grain of this sand approximately weighs $7 \times 10^{-5} \mathrm{~g}$ . b) How many grains of sand are there in 6300 kg of sand? Give your answer in standard from.

8. The average weight of 3 boys is 120 pounds and the average weight of 2 girls is 105 pounds. What is the average weight, in pounds, of all 5 children? (A) 92.5 (B) 110 (C) 112.5 (D) 114
114 5 \longdiv { 5 7 0 } $\frac{54}{07} 1$ $\frac{5}{20}$ (E) 116

$\left(\begin{array}{c} 6 \\ \uparrow \\ \uparrow \end{array}\right.$
11. The " 6 " in place $P$ in the numeral above has a value how many times the value of the " 6 " in place $Q$ ? (A) 10,000 (B) 1,000 (C) 100 (D) 10 (E) 1

2. Ms. Vizzari purchased 972 square yards of carpet for $\$ 17,496$ . What was her cost per square foot? (A) $\$ 18.00$ (B) $\$ 9.75$ (C) $\$ 6.00$ (D) $\$ 2.00$ (E) $\$ 1.25$

If a candle company can fit 8 candles in each shipping box, how many boxes should they use to ship an order of 56 candles? $\square$ boxes

A stack of 500 pieces of paper is 1.875 inches tall.
PART A Diego guesses that each piece of paper is 0.015 inches thick. Explain why Diego's answer is incorrect. Hint: Use the $f_{x}$ button to type out math expressions, fractions, and symbols more easily

Toilet rolls come in packs of 4 and 9
The 4-pack is priced at $£ 2.04$ The 9-pack is priced at $£ 4.68$
By calculating the price per roll, determine which pack is better value. Show your working. Show your working

$3.20 \mathrm{~g} / \mathrm{cm}^{3} \rightarrow \mathrm{~kg} / \mathrm{m}^{3}$

hich pair of ratios does not form a true proportion? :14 and 20:35 B. 6 to 10 and 15 to 25 C. $\frac{9}{4}$ and $\frac{36}{16}$ D. $12: 15$ and $30: 40$

What is the price per oz to the nearest cent of the least expensive: 15 oz for $\$ 3.58$ or 25 oz for $\$ 4.25$ ? 0.24 0.19 0.21 0.17

Find the unit price rounded to the nearest cent: 8.2 lbs for $\$ 6.24$ . \ $0.76$ \ $0.91$ $\$ 0.90$ $\$ 0.79$

Which is a better estimate for the volume of a bottle of glue?
44 cups 44 teaspoons Submit

104. A television station has 20 min of advertising each hour. How many 30 -second ( $\frac{1}{2}-\mathrm{min}$ ) commercials can be run in a. 1 hr b. 1 day

Selecting among the digits 1 through 7 and repeating none of them, make the largest possible quotient. (Assum $\square$ $\square$ $\square$ $x$ $\square$

I CAN ADDLY RATIOS TO SOIVE REAL-WORLD
11. A florist uses 160 roses to make 5 identical flower arrangements. How many roses would the florist use to create 8 identical arrangements? Set up a proportion to solve.

I CAN ADDLY RATES TO SOIVE REAL-WORLD
20. Yvonne paid $\$ 18.72$ for 8 gallons of gas. She then passed by another gas station advertising $\$ 2.29$ per gallon. How much money would she have saved if she had waited and purchased gas at the second location?

How many $\frac{4}{5}$ s are in 4? (f)
There are $\square$ groups of $\frac{4}{5}$ in 4.

Part 1 of 2 Penny reads 14 pages in $\frac{1}{4}$ hour. What is the unit rate for pages per hour? For hours per page? $\square$ The unit rate is page(s) per hour. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

day
2. 12 people can fit in a wagon at one time at I Santa*s Wonderland to see the light show. If there were 54 people waiting to see the lights. how many wagons would be needed to take them?
1 A. 4 wagons B. 5 wagons G. 10 wagons D. 12 wagons