Ratios & Proportions

Problem 1101

Estimate the number of bus seats needed for 173 third graders and 124 fourth graders if each seat fits 3 students.

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Problem 1102

Sofía needs chairs for her quinceañera. If the ratio of chairs to tables is 6:16:1, how many chairs for 18 tables?

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Problem 1103

What is the expression for the quotient of a number nn divided by 4?

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Problem 1104

How many cups of muffin mix are needed for 12 servings if one serving uses 23\frac{2}{3} cup?

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Problem 1105

Stan needs to find how many sprinkles (p)(p) are needed for 60 cookies if 24 cookies use 384 sprinkles.

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Problem 1106

Mandy has a 5 m bar weighing 40 kg40 \mathrm{~kg}. What is the mass (w)(w) of a 3 m bar of the same metal?

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Problem 1107

Create three equivalent ratios using the digits 1 to 9. Can you do it using each digit only once?

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Problem 1108

A map scale of 1:50,0001: 50,000 shows a distance of 8 cm8 \mathrm{~cm}. Find the actual distance in km\mathrm{km}. A) 0.4 B) 4 C) 40 D) 400

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Problem 1109

Find the greatest number of identical bouquets the florist can make using all 60 tulips and 72 daffodils.

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Problem 1110

Calculate ingredient amounts for 50 meatballs and compare beef prices at two shops. Verify age-based R3600 distribution for three kids. Analyze number patterns A and B.

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Problem 1111

Find the unit rate of popcorn produced by the hot air popcorn maker, which makes 14 cups in 2.5 minutes.

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Problem 1112

Convert 745 torr to mbar using the conversion factor: 1 torr = 1.33322 mbar.

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Problem 1113

A rocket car travels at 640 mph. How long to cover 384 miles? A. 36 min B. 245 min C. 256 min D. 1.7 hrs

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Problem 1114

Lynne estimates carbs in a 200 kcal drink. Should she divide by 9, multiply by 4, divide by 4, or multiply by 9?

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Problem 1115

The city's yes to no vote ratio is 3:4. With 1743 yes votes, find the total number of votes.

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Problem 1116

A machine makes 24,000 plastic balls in 8 hours. Find the rate in balls per hour: 24,000 balls8 hours\frac{24,000 \text{ balls}}{8 \text{ hours}}.

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Problem 1117

Which bag has the lower unit price: Kitty Kibbles at \$20.80 for 16 pounds or Feline Flavor at \$11.20 for 8 pounds?

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Problem 1118

Orly uses 2 cups of raisins for 8 cups of trail mix. How many cups of trail mix for 10 cups of raisins? Options: 1351 \frac{3}{5}, 2122 \frac{1}{2}, or 40 cups.

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Problem 1119

A baseball player batted 350 times and hit 100 balls. Find the hit-to-bat ratio as a simplified fraction.

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Problem 1120

What is Travis's speed in mph if he traveled 290 miles in 5 hours? Speed=290 miles5 hours\text{Speed} = \frac{290 \text{ miles}}{5 \text{ hours}}

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Problem 1121

A pack of 8 AA batteries costs \$6.24 and a pack of 20 costs \$15.80. Which has the lower unit price?

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Problem 1122

Compare unit prices of 8-count AA batteries at \$6.24 and 20-count at \$15.80. Which pack has the lower unit price?

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Problem 1123

Kevin drove 95 miles and Amanda drove 125 miles. How many more gallons did Kevin use than Amanda if his truck uses 1 gallon/15 miles and hers uses 1 gallon/40 miles?

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Problem 1124

Hundreds equal 70 times tens. What is the value of hundreds in terms of tens? Express it as: h=70th = 70t.

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Problem 1125

How many inches are there in 12 feet? (Use the conversion 1 foot=12 inches1 \text{ foot} = 12 \text{ inches})

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Problem 1126

There are how many inches in 12 feet? Calculate: 12 feet×12 inches/foot12 \text{ feet} \times 12 \text{ inches/foot}.

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Problem 1127

A beach erodes at 4 cm/year. Convert this to mm/day using the correct expression. Which one is right?

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Problem 1128

Multiply and simplify: 4313=4 \cdot 3 \frac{1}{3} = \square (Provide a whole number, fraction, or mixed number.)

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Problem 1129

What is the simplified ratio of tulip bulbs to daffodil bulbs if Robert planted 24 daffodils and 36 tulips?

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Problem 1130

Find the calories per ounce in a 6-ounce Greek yogurt container with 150 calories.

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Problem 1131

Find the unit price of a 120 oz shampoo bottle costing \$7.20.

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Problem 1132

Find the least common multiple (LCM) of 15 and 40. A. 25 B. 600 C. 120 D. 5

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Problem 1133

Convert 375 m/s375 \mathrm{~m/s} to ft/min\mathrm{ft/min}.

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Problem 1134

A student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

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Problem 1135

Convert 19.3 g/mL19.3 \mathrm{~g} / \mathrm{mL} to lb/in3\mathrm{lb} / \mathrm{in}^{3}.

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Problem 1136

What is the mass of 50.0 mL for each substance? (Densities: Lead 11.4 g/mL11.4 \mathrm{~g/mL}, Ethanol 0.785 g/mL0.785 \mathrm{~g/mL}, Oxygen 1.4×103 g/mL1.4 \times 10^{-3} \mathrm{~g/mL}, Hydrogen 8.4×105 g/mL8.4 \times 10^{-5} \mathrm{~g/mL}, Mercury 13.6 g/mL13.6 \mathrm{~g/mL}, Gold 19.3 g/mL19.3 \mathrm{~g/mL})

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Problem 1137

A soft drink costs \$0.99 for 24.0 oz and \$0.73 for 0.500 L. Find the price per liter for both sizes.

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Problem 1138

Find the coordinate of PP as the weighted average of points A(9,2)A(-9, 2) and D(2,3)D(2, 3). Use an improper fraction if needed.

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Problem 1139

How many batches of buttermilk pancakes can be made with 6 cups of buttermilk if each batch needs 78\frac{7}{8} cup?

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Problem 1140

Convert 1 pound to ounces using the conversion: 1 pound (lb)=16(\mathrm{lb}) = 16 ounces (oz)(\mathrm{oz}).

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Problem 1141

Convert 3 yards to centimeters using the given conversion factors. Round to the nearest whole number.

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Problem 1142

Convert 2 cm to feet using the given conversion factors. Round to the nearest hundredth.

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Problem 1143

Find the difference in average speed (mph) between Roger, who ran 13.2 miles in 1.6 hours, and Ana, who ran 10.85 miles in 1.4 hours.

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Problem 1144

Convert 8 weeks to minutes using: 1 week = 7 days, 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.

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Problem 1145

Find the density in pounds per cubic foot for a material weighing 6900 grams per 4.5 quarts. Round to the nearest whole number.

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Problem 1146

Margot has 211221 \frac{1}{2} lbs flour, 8 lbs butter, and 181218 \frac{1}{2} lbs sugar. For 12 batches, how much per batch?

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Problem 1147

Convert a flow rate of 7 liters per 9.5 hours to pints per week. Round to the nearest whole number.

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Problem 1148

Convert a material's density of 430 kg/ft³ to g/cup, rounding to the nearest whole number using given conversion factors.

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Problem 1149

Lola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?
2 millimeters : \square meters Submit

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Problem 1150

Part 2: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
1. If the entire grid has a value of $100\$ 100, what is the value of each small square in the grid?
2. If the entire grid has a value of $100\$ 100, what is the value of 10 small squares in the grid?
3. If the entire grid has a value of $200\$ 200, what is the value of each small square in the grid?
4. If the entire grid has a value of $200\$ 200, what is the value of 10 small squares in the grid?
5. If the entire grid has a value of $80\$ 80, what is the value of each small square in the grid?
6. If the entire grid has a value of $80\$ 80, what is the value of 10 small squares in the grid?
7. If the entire grid has a value of $120\$ 120, what is the value of each small square in the grid?
8. If the entire grid has a value of $120\$ 120, what is the value of 10 small squares in the grid?
9. If the entire grid has a value of $24\$ 24, what is the value of each small square in the grid?
10. If the entire grid has a value of $24\$ 24, what is the value of 10 small squares in the grid? 6WB2 - 10 e2014 University of Utah Middle School Math Project in partnenthip with

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Problem 1151

Cassidy has 10 rose bushes and 15 azalea bushes to plant. What is the greatest amount of equal rows she can make wha no plants left over?

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Problem 1152

Jo has 27 stickers and 6 model cars. She puts the same number of stickers on each car, and she uses as many stickers as she can. How many stickers does Jo put on each car? How many stickers are left?
Does Jo have enough stickers to put 2 stickers on each car?

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Problem 1153

lem 2.3 Jamar's class painted 50 square feet of a mural using 4 cans 0 paint.
On the previous screen, you said that Jamar's class could paint 12.5 square feet per can of paint and use 0.08 cans per square foot of the mural.
They want to paint a total of 310 square feet.
How many cans of paint will they need?

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Problem 1154

An artiot is hired to create an art display for the interior of a city building. The deplay is to span a total width of 11.5 yd. The artist decides to cover this space with equally sized portraits placed side-by-side in a horizontal line with no gaps. Each portrat has a width of 46 in. How many portraits will be used in the display?
First fill in the blanks on the left side of the equation using three of the ratios shomn. Then write your anewer on the right side of the equation.

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Problem 1155

At the grocery store, Abdullah purchased 3 pounds of mac and cheese for $7.50\$ 7.50.
What does mac and cheese cost per pound? \square How much mac and cheese does he get per dollar? \qquad \qquad \square
How much mac and cheese could Abdullah buy for $20\$ 20 ? \square Submit

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Problem 1156

6. Жимсний шүүс хийхэд алим ба нимбэг 3:53: 5 харьцаатай оржээ. Алим нь нимбэгний хэдэн процент болох вэ?

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Problem 1157

Leah Hernandez-Matute 8 of 12 Next
Your Favorite Mistake It takes 20 tomato slices to make 2 of Ivan's pizzas.
Two students made a mistake when making 6 pizzas.
Select your favorite mistake.
Ivan (120 slices) Jada (24 slices)
What advice would you give to Ivan?
Jada: 24 slices

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Problem 1158

Find Unit Rates
1. Lisa takes 27 minutes to run 3 miles. A. Write Lisa's unit rate in minutes per mile. B. Write Lisa's unit rate in miles per minute. C. At this rate, how many miles will Lisa have run after 45 minutes? D. At this rate, how long would it take Lisa to run 7 miles?
2. A 5 -pound bag of carrots costs $2.69\$ 2.69, and a 2 -pound bag costs $1.89\$ 1.89. A. Which bag provides a greater weight per dollar spent? B. How much does 10 pounds of carrots cost when purchasing 5-pound bags? C. How much does 10 pounds of carrots cost when purchasing 2-pound bags? D. What is the difference in price between each option when purchasing 10 pounds of carrots?

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Problem 1159

Listen
Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week? 52 30 12 365

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Problem 1160

4. In 2021, the approximate population of India was 1.4×101.4 \times 10 people. Spain's population in 2021 was about 4 how many times greater was India's population than Spain's population 0.3

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Problem 1161

Laura and Martin obtain a 20 -year, $190,000\$ 190,000 conventional mortgage at 9.5%9.5 \% on a house selling for $230,000\$ 230,000. Their monthly \$1772.70. a) Determine the total amount they will pay for their house.

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Problem 1162

Find the number that makes the ratio equivalent to 72:2472: 24. \square :2 Submit

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Problem 1163

jelect all ratios equivalent to 5:45: 4. 11:211: 2 60:4860: 48 3:6

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Problem 1164

Measurement Word problem involving a conversion between U.S. Customary units of ...
Rachel is ordering 3 bags of cat food from Canada. Each bag has a mass of 5 kg . To determine the shipping costs, Rachel needs to know the total weight in pounds. What is the weight of the cat food in pounds?
Use 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb} and do not round any computations. \square 16

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Problem 1165

What is the money multiplier if the reserve rate is set to 5%5\%? A. 50 B. 5 C. 20 D. 2

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Problem 1166

In a class of 200 students, boys to girls ratio is 2:3. Junior class has same boys, ratio is 5:4. Find junior class size.

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Problem 1167

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si inicias a medianoche del 1 de enero de 2000, ¿cuándo será el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

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Problem 1168

In a city vote with a yes to no ratio of 7 to 4 and 8514 total votes, find the number of no votes.

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Problem 1169

In a city vote with a yes to no ratio of 7 to 4 and 8514 total votes, how many no votes were there?

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Problem 1170

The ratio of union to nonunion members is 3:5. If there are 85 nonunion members, find the total number of employees.

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Problem 1171

For a field trip, the adult to student ratio is 2:9.
d) If 45 students attend, how many adults are needed? e) If 18 adults volunteer, how many students can attend? f) What two equivalent ratios to 2:92:9 can you find?

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Problem 1172

If 45 students attend, how many adults are needed if the ratio of adults to students is 2 to 9? Use a tape diagram and ratio table.

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Problem 1173

If 18 adults volunteer, how many students can join the trip based on a 2:9 adult to student ratio? Use a tape diagram and ratio table.

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Problem 1174

If 18 adults volunteer, how many students can attend the trip based on a 2:9 adult to student ratio? Use diagrams and tables.

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Problem 1175

¿Cuánto tiempo tarda tu corazón en latir 1000 veces? Si cuentas desde el 1 de enero de 2000, ¿cuándo llegarás a un millón y a un billón de latidos? Estima tu frecuencia cardiaca en latidos por minuto, hora y día.

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Problem 1176

Calcula el tiempo para 1000 latidos. Si empiezas a contar a la medianoche del 1 de enero de 2000, ¿cuándo es el latido 1,000,000 y 1,000,000,000? Estima tu frecuencia cardíaca en latidos por minuto, hora y día.

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Problem 1177

Find the density of a metal piece with mass 30.4571 g and water volume change from 6.45 cm36.45 \mathrm{~cm}^{3} to 9.90 cm39.90 \mathrm{~cm}^{3}.

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Problem 1178

A tree grew 2.62 feet in 4 years. What is its annual growth rate in feet per year?

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Problem 1179

Mac bought 48 lbs of hamburger, using bags that hold 2232 \frac{2}{3} lbs each. How many bags did he use?

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Problem 1180

Doug, Dick y Dean son trillizos con un promedio de clase de 74%74\%. Al irse, el promedio sube a 75%75\%. Sus puntajes están en la proporción 6:5:36:5:3. ¿Cuáles son sus puntajes?

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Problem 1181

Find the unit rate (price per cup) for popcorn in the small, medium, and large combos at Carmike Cinema.

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Problem 1183

Convert 10 km10 \mathrm{~km} to feet using 1 m=3.28084ft1 \mathrm{~m} = 3.28084 \mathrm{ft}. What is the result?

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Problem 1184

A newborn elephant weighs 225lb225 \mathrm{lb}. Convert this to kilograms using 1 kg=2.2lb1 \mathrm{~kg}=2.2 \mathrm{lb}.

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Problem 1185

Alisha buys 1.5 kg onions, 3.6 kg potatoes, 0.6 kg radish, and 1.2 kg apples. Calculate her total cost.

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Problem 1186

Find the minimum packs of soccer balls (4 per pack) needed to equalize tennis balls (18 per pack) and golf balls (12 per pack).

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Problem 1187

Convert 3.4 meters to centimeters. How many centimeters is that? (Use the conversion: 1 m = 100 cm)

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Problem 1188

Which two expressions yield a value greater than 1? A) 23×5\frac{2}{3} \times 5, B) 13÷25\frac{1}{3} \div \frac{2}{5}, C) 53×18\frac{5}{3} \times \frac{1}{8}, D) 34×23\frac{3}{4} \times \frac{2}{3}, E) 23÷25\frac{2}{3} \div \frac{2}{5}.

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Problem 1189

Select 15 blocks, divide into 5 equal parts, then count 2 of those parts. What is the value of 2 parts?

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Problem 1190

Find the units of the student's answer for the expression: (0.25 L)(1 mL103 L)(1.50gmL)(140.18gmol)\frac{(0.25 \mathrm{~L})\left(\frac{1 \mathrm{~mL}}{10^{-3} \mathrm{~L}}\right)\left(1.50 \frac{\mathrm{g}}{\mathrm{mL}}\right)}{\left(140.18 \frac{\mathrm{g}}{\mathrm{mol}}\right)}.

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Problem 1191

Calculate the units for: (163.mgdL)(103 g1mg)(1dL101 L)(103 L1 mL) \left(163 . \frac{\mathrm{mg}}{\mathrm{dL}}\right)\left(\frac{10^{-3} \mathrm{~g}}{1 \mathrm{mg}}\right)\left(\frac{1 \mathrm{dL}}{10^{-1} \mathrm{~L}}\right)\left(\frac{10^{-3} \mathrm{~L}}{1 \mathrm{~mL}}\right).

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Problem 1192

Jesse has 41.25 inches of ribbon and uses 3.75 inches per bow. Estimate how many bows she can make.

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Problem 1193

A pasta meal costs \$8.95 at a restaurant and \$4.75 to make at home.
1. The copycat meal costs \lessthantherestaurantmeal.<br/>2.Therestaurantmealcosts less than the restaurant meal.<br />2. The restaurant meal costs \frac{8.95}{4.75} timesasmuchasthecopycatmeal(roundtotwodecimalplaces).<br/>3.Thecostofthecopycatmealis times as much as the copycat meal (round to two decimal places).<br />3. The cost of the copycat meal is \frac{4.75}{8.95} \times 100 $ % of the restaurant meal (round to the nearest whole percent).

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Problem 1194

How many times larger was Canada's GDP (\$1.653 \text{ trillion}\$) than Palau's GDP (\$291.5 \text{ million}\$)? Round to the nearest whole number.

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Problem 1195

5. How many pints are in 6 quarts? \qquad pints

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Problem 1196

What is the molality of ethanol (C2H5OH)\left(\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\right) in an aqueous solution that is 39.8%39.8 \% ethanol by mass? a. 1 m b. 14 m c. 0 m d. 1 m e. 84.0 m

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Problem 1197

Answer the following questions. a. How many tens would you need to show 300? Explain your reasoning.  xplain your reasoning.  We nced hundreads so y0100=30\begin{array}{l} \text { xplain your reasoning. } \\ \text { We nced hundreads so } y^{0} \\ 100=30^{\circ} \end{array} a. How many hundreds are the same as having 60 tens? Explain your reasoning. b. 70 tens == \qquad hundreds c. 4 hundreds == \qquad tens

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Problem 1198

In Ms. Franko's class for every 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form.

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Problem 1199

8=18 \cdot \square=1 188=\frac{1}{8} \cdot 8= \square 588=\frac{5}{8} \cdot 8= \square 8=38 \cdot \square=3

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Problem 1200

\text{We will be serving duck, goose, and lobster. We are planning to serve 1.25 lbs. of lobster for each person. If an average lobster weighs 3 lbs., how many lobsters will we need?}

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