#### 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

Step: 1
chairstables = 5614
[Express the comparison as a ratio.]
Step: 2
56 ÷ 1414 ÷ 14
[Divide 56 and 14 by 14.]
Step: 3
41
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

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

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. $0.13/mi Step: 1 Unit rate in$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

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 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 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

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

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

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
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

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 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

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

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.
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

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
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