Calculating Unit Rates-Gr 7-Solved Examples

Solved Examples and Worksheet for Calculating Unit Rates

Q1A classroom has 56 chairs and 14 tables. Find the unit rate of chairs per table.

A. 4 chairs per table
B. 3 chairs per table
C. 5 chairs per table
D. 6 chairs per table

Solutions

Step: 1

chairstables = 5614

[Express the comparison as a ratio.]

Step: 2

56 ÷ 1414 ÷ 14

[Divide 56 and 14 by 14.]

Step: 3

Step: 4

The unit rate is 4 chairs per table.

Correct Answer is : 4 chairs per table

Q2A shopkeeper sold 18 lb of crude oil in 2 hours. What is the unit rate?

A. 11 lb/hr
B. 9 lb/hr
C. 8 lb/hr
D. 10 lb/hr

Solutions

Step: 1

Unit rate = quantitytime = 182

Step: 2

= 18÷22÷2 = 91

[Divide both the numerator and the denominator by denominator.]

Step: 3

The unit rate is 9 lb/hr.

Correct Answer is : 9 lb/hr

Q3Tim can cover a distance of 315 km in 5 hours by a vehicle. What is the unit rate in km/hr?

A. 63 km/hour
B. 58 km/hour
C. 56 km/hour
D. 68 km/hour

Solutions

Step: 1

Unit rate = distancetime = 3155

Step: 2

= 315/55/5 = 631

[Divide both the numerator and the denominator by the denominator.]

Step: 3

The unit rate that Tim can cover is 63 km/hour.

Correct Answer is : 63 km/hour

Q4The distance between Denver and San Francisco is 960 miles. The airline fare per person is $218. What is the unit rate in dollars/mile?
A. $0.33/mi
B. $0.23/mi
C. $1.33/mi
D. $0.13/mi

Solutions

Step: 1

Unit rate in $mile = AirfareDistance = 218960

Step: 2

= 218÷960960÷960

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 0.231

[Simplify.]

Step: 4

The unit rate is $0.23 per mile.

Correct Answer is : $0.23/mi

Q5Jeff can read 1170 words in a newspaper in 30 minutes. How many words can he read per minute?
A. 54 words/min
B. 44 words/min
C. 34 words/min
D. 39 words/min

Solutions

Step: 1

Unit rate = number of wordstime = 117030

Step: 2

= 1170÷3030÷30 = 391

[Divide both the numerator and the denominator by denominator.]

Step: 3

Jeff can read 39 words per minute.

Correct Answer is : 39 words/min

Q6Wilma bought 10 apples at a cost of $3.10. What is the unit rate?
A. $0.38/apple
B. $0.31/apple
C. $0.48/apple
D. $0.29/apple

Solutions

Step: 1

Unit rate = costnumber of apples = 3.1010

Step: 2

= 3.10÷1010÷10 = 0.311

[Divide both the numerator and the denominator by the denominator.]

Step: 3

The unit rate is $0.31/apple.

Correct Answer is : $0.31/apple

Q7A printer can print 360 copies in 30 minutes. Find the unit rate of the printer.
A. 12 copies per minute
B. 9 copies per minute
C. 10 copies per minute
D. 14 copies per minute

Solutions

Step: 1

Unit rate = number of copiesminutes = 36030

Step: 2

= 360/3030/30

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 121

[Simplify.]

Step: 4

So, the printer can print 12 copies per minute.

Correct Answer is : 12 copies per minute

Q8At a grocery store, 5 gallons of milk costs $15. Find the cost of a gallon of milk.

A. $5 per gallon
B. $2 per gallon
C. $3 per gallon
D. $4 per gallon

Solutions

Step: 1

costquantity = 155

[Express the comparison as a ratio.]

Step: 2

= 15 ÷ 55 ÷ 5

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 31

[Simplify.]

Step: 4

The unit rate of milk is $3 per gallon.

Correct Answer is : $3 per gallon

Q9A motorcycle has covered 531 miles in 9 hours. Find the unit rate in mi/hr.

A. 50 mi/hr
B. 64 mi/hr
C. 68 mi/hr
D. 59 mi/hr

Solutions

Step: 1

mileshours = 5319

[Write the comparison as a ratio.]

Step: 2

= 531 ÷ 99 ÷ 9

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 591

[Simplify.]

Step: 4

The unit rate is 59 mi/ hr.

Correct Answer is : 59 mi/hr

Q10Jeff can read 30 pages in 2 hours. Find the unit rate.

A. 15 pages/hour
B. 13 pages/hour
C. 16 pages/hour
D. 14 pages/hour

Solutions

Step: 1

pageshours = 302

[Write the comparison as a ratio.]

Step: 2

= 30 ÷ 22 ÷ 2

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 151

[Simplify.]

Step: 4

Jeff can read 15 pages/hour.

Correct Answer is : 15 pages/hour

Q11Justin scored 215 points in 5 games. Find the unit rate.

A. 42 points/game
B. 44 points/game
C. 43 points/game
D. 45 points/game

Solutions

Step: 1

scoregames = 2155

[Write the comparison as a ratio.]

Step: 2

= 215 ÷ 55 ÷ 5

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 431

[Simplify.]

Step: 4

Justin's unit rate is 43 points per game.

Correct Answer is : 43 points/game

Q12The cost of 6 yd of ribbon is $0.18. Find the unit rate of ribbon.
A. $0.04 per yd
B. $0.02 per yd
C. $0.05 per yd
D. $0.03 per yd

Solutions

Step: 1

costlength = 0.186

[Express the comparison as a ratio.]

Step: 2

= 0.18 ÷ 66 ÷ 6

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 0.031

[Simplify.]

Step: 4

The unit rate of ribbon is $0.03 per yd.

Correct Answer is : $0.03 per yd

Q13The cost of 13 bags of popcorn is $6.37. Find the unit rate of one bag of popcorn.

A. $0.69
B. $0.44
C. $0.59
D. $0.49

Solutions

Step: 1

costbags = 6.3713

[Write the comparison as a ratio.]

Step: 2

= 6.37 ÷ 1313 ÷ 13

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 0.491

[Simplify.]

Step: 4

The unit rate of a bag of popcorn is $0.49.

Correct Answer is : $0.49

Q14Lauren scored a total of 352 points on 4 of her tests. Find her unit rate.

A. 90
B. 87
C. 89
D. 88

Solutions

Step: 1

Scorenumber of tests = 3524

[Write the comparison as a ratio.]

Step: 2

= 352 ÷ 44 ÷ 4

[Divide both the numerator and the denominator by the denominator.]

Step: 3

= 881

[Simplify.]

Step: 4

The unit rate is 88 points per test.

Correct Answer is : 88

Q15The total number of TVs sold by an electronics shop in a year is 3,650. Find the number of TVs sold per day.
A. 11 sets/day
B. 10 sets/day
C. 12 sets/day
D. 9 sets/day

Solutions

Step: 1

1 year = 365 days.

Step: 2

Number of television sets soldnumber of days

= 3,650365

[Write the comparison as a ratio.]

Step: 3

= 3,650÷365365÷365

[Divide both the numerator and the denominator by the denominator.]

Step: 4

= 101

[Simplify.]

Step: 5

So, the number of television sets sold per day is 10.

Correct Answer is : 10 sets/day

Solved Examples and Worksheet for Calculating Unit Rates

Related Worksheet

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HighSchool Math