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Math  /  Numbers & Operations

QuestionFind the unit rate.
23. 70 words in 2 min .
25. 580 mi . on 29 gal .
27. $2.95\$ 2.95 for 5 cans
29. 5 lawns for $90\$ 90
24. 270 acres in 3 days
26. 130 yd. on 25 carries
28. $75\$ 75 for 30 lb .
30. $306\$ 306 payment for 36 hr .

Studdy Solution

STEP 1

1. A unit rate is a comparison of any two separate but related measurements when one of the measurements is reduced to a single unit.
2. We will find the unit rate by dividing the given quantities.

STEP 2

1. Find the unit rate for words per minute.
2. Find the unit rate for miles per gallon.
3. Find the unit rate for cost per can.
4. Find the unit rate for cost per lawn.
5. Find the unit rate for acres per day.
6. Find the unit rate for yards per carry.
7. Find the unit rate for cost per pound.
8. Find the unit rate for payment per hour.

STEP 3

To find the unit rate of words per minute, divide the number of words by the number of minutes.
70 words2 min=35 words per minute\frac{70 \text{ words}}{2 \text{ min}} = 35 \text{ words per minute}

STEP 4

To find the unit rate of miles per gallon, divide the number of miles by the number of gallons.
580 miles29 gallons=20 miles per gallon\frac{580 \text{ miles}}{29 \text{ gallons}} = 20 \text{ miles per gallon}

STEP 5

To find the unit rate of cost per can, divide the total cost by the number of cans.
$2.955 cans=$0.59 per can\frac{\$2.95}{5 \text{ cans}} = \$0.59 \text{ per can}

STEP 6

To find the unit rate of cost per lawn, divide the total cost by the number of lawns.
$905 lawns=$18 per lawn\frac{\$90}{5 \text{ lawns}} = \$18 \text{ per lawn}

STEP 7

To find the unit rate of acres per day, divide the number of acres by the number of days.
270 acres3 days=90 acres per day\frac{270 \text{ acres}}{3 \text{ days}} = 90 \text{ acres per day}

STEP 8

To find the unit rate of yards per carry, divide the number of yards by the number of carries.
130 yards25 carries=5.2 yards per carry\frac{130 \text{ yards}}{25 \text{ carries}} = 5.2 \text{ yards per carry}

STEP 9

To find the unit rate of cost per pound, divide the total cost by the number of pounds.
$7530 pounds=$2.50 per pound\frac{\$75}{30 \text{ pounds}} = \$2.50 \text{ per pound}

STEP 10

To find the unit rate of payment per hour, divide the total payment by the number of hours.
$30636 hours=$8.50 per hour\frac{\$306}{36 \text{ hours}} = \$8.50 \text{ per hour}
The unit rates are:
1. 35 words per minute
2. 20 miles per gallon
3. \$0.59 per can
4. \$18 per lawn
5. 90 acres per day
6. 5.2 yards per carry
7. \$2.50 per pound
8. \$8.50 per hour

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