Solved Examples and Worksheet for Application of Unit Rate/Cost

Q1A 8 fl.oz bottle of orange juice costs $8.50 and 12 fl.oz bottle of orange juice costs $13.50. Which is a better buy?
A. 8 fl.oz bottle
B. 12 fl.oz bottle
C. Cannot say
D. None of the above

Solutions
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Step: 1
Juice costquantity of bottle = 8.508 = $1.06
  [Write the unit rate for 8 fl.oz bottle.]
Step: 2
Juice costquantity of bottle = 13.5012 = $1.12
  [Write the unit rate for 12 fl.oz bottle.]
Step: 3
The unit rate of the first one is less than the second one. The first one is a better buy.
Correct Answer is :   8 fl.oz bottle
Q2Jake can type 26400 words in 4 hours. Find the unit rate.

A. 660 words/hour
B. 26400
C. 6600 words/hour
D. 4

Solutions
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Step: 1
Number of wordsTotal hours = 264004
  [Write the rate comparing words to hours.]
Step: 2
26400÷44÷4
  [Divide the numerator and the denominator by 4.]
Step: 3
66001
  [Simplify.]
Step: 4
The unit rate is 6600 words/hour.
Correct Answer is :   6600 words/hour
Q3William receives 5600 letters per week. Find the number of letters he receives per day.

A. 850 letters/day
B. 800 letters/day
C. 750 letters/day
D. 900 letters/day

Solutions
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Step: 1
1 week = 7 days
  [Write the relation between week and days.]
Step: 2
LettersDays = 56007
  [Write a rate for number of letters to days.]
Step: 3
= 5600÷77÷7
  [Divide the numerator and the denominator by the denominator.]
Step: 4
= 8001
  [Simplify.]
Step: 5
William receives 800 letters per day.
Correct Answer is :   800 letters/day
Q4On an average, a person blinks his eyes 28,763 times in a week. How many times does he blink his eyes in a day?
A. 4,209 blinks/day
B. 5,109 blinks/day
C. 4,109 blinks/day
D. 3,109 blinks/day

Solutions
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Step: 1
1 week = 7 days
  [Write the relation between week and days.]
Step: 2
Eye blinksNumber of days = 28,7637
  [Write a rate for blinks to days.]
Step: 3
= 28,763÷77÷7
  [Divide the numerator and the denominator by 7.]
Step: 4
= 41091
  [Simplify.]
Step: 5
A person blinks his eyes 4,109 times per day.
Correct Answer is :   4,109 blinks/day
Q5An average person blinks his eyes 4224 times a day. How many times would he blink his eyes in an hour?
A. 196 /hour
B. 176 /hour
C. 181 /hour
D. 186 /hour

Solutions
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Step: 1
1 day = 24 hours.
Step: 2
Number of times eyes were blinkednumber of hours = 422424
  [Write a rate comparing eye blinks to hours.]
Step: 3
= 4224/2424/24
  [Divide the numerator and the denominator by 24.]
Step: 4
= 1761
  [Simplify.]
Step: 5
Eyes were blinked 176 times in an hour.
Correct Answer is :   176 /hour
Q6Chris can drink 49 cups of apple juice in 7 min. Find the unit rate.

A. 8 cups/minute
B. 9 cups/minute
C. 7 cups/minute
D. 10 cups/minute

Solutions
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Step: 1
Volume of juiceTime = 497
  [Write a rate comparing cups to minutes.]
Step: 2
= 49 ÷ 77 ÷ 7
  [Divide numerator and the denominator by 7.]
Step: 3
= 71
  [Simplify.]
Step: 4
The unit rate is 7 cups of apple juice per1 min.
Correct Answer is :   7 cups/minute
Q760 babies were delivered in a hospital in 5 hours. Find the unit rate.
A. 12 deliveries/hour
B. 21 deliveries/hour
C. 8 deliveries/hour
D. 16 deliveries/hour

Solutions
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Step: 1
The number of babies deliveredthe number of hours = 605
  [Write a rate comparing number of delivers to the hours.]
Step: 2
= 60/55/5
  [Divide numerator and denominator by 5.]
Step: 3
= 121
  [Simplify.]
Step: 4
The unit rate is 12 deliveries per 1 hour.
Correct Answer is :   12 deliveries/hour
Q8Gary walks at a rate of 4 miles per hour. Find the distance Gary walks in 2 hours.
A. 4
B. 8
C. 12
D. 16

Solutions
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Step: 1
Number of miles = 4 miles/hour × 2 hours
  [Substitute rate and hours.]
Step: 2
= (4 × 2) miles
  [Use Unit analysis.]
Step: 3
= 8 miles
  [Multiply.]
Step: 4
Gary walks 8 miles in 2 hours.
Correct Answer is :   8
Q9Joe earns $35 working in a Cafeteria for 5 hours. Find his earnings per hour.
A. $7
B. $6
C. $8
D. $9

Solutions
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Step: 1
Rate = $355 hours = $71 hour
  [Divide the numerator and the denominator by the GCF, 5.]
Step: 2
Joe earns $7 per hour.
Correct Answer is :   $7
Q10Andy drives 750 miles in 6 hours. Find the distance covered by Andy in 1 hour.
A. 125 miles
B. 130 miles
C. 120 miles
D. 115 miles

Solutions
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Step: 1
Average speed = 750 miles/6 hours
Step: 2
= (750 ÷ 6 miles) / (6 ÷ 6 hours) = 125 miles/1 hour
  [Divide the numerator and denominator by the GCF, 6.]
Step: 3
Andy drives 125 miles in 1 hour.
Correct Answer is :   125 miles
Q11Jerald bought 3 stalks of broccoli for $9. Find the rate of one stalk of broccoli.

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

Solutions
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Step: 1
Rate of one stalk = $93 = $3
  [Divide.]
Step: 2
The rate of one stalk of broccoli is $3.
Correct Answer is :   $3

HighSchool Math