Ratio, Proportion, And Percent Worksheet With Answers
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6Working with Unit Rates
A unit rate is a special kind of ratio that compares a quantity to one unit. Unit rates are usually
expressed with the word per.
Examples:
An employee earns $9 per hour. The speed limit is 55 miles per hour.
To find a unit rate:
1.
Use the information in the problem to write a ratio in fraction form.
2.
Divide the top number by the bottom number. Express the remainder as either a fraction
or a decimal.
3.
Write the quotient from Step 2 as the top number of the unit rate over 1.
8
Use your knowledge of unit rates to calculate gas mileage.
Example:
Since her last fill-up, Lynn has driven 192 miles. When she stops for gas, it takes 12
gallons to fill up her gas tank. How many miles per gallon did she get on her last tank of gasoline?
(1) 12
(4) 17
(2) 15
(5) 19
(3) 16
192
You’re right if you chose (3) 16. Lynn drove 192 miles on 12 gallons of gas. The ratio is
,
12
16
which equals a rate of
. Lynn’s car averaged 16 miles per 1 gallon of gasoline.
1
S K I L L P R A C T I C E
Solve each problem. Reduce ratios to lowest terms. Remember: Do not change a ratio to a
whole or mixed number.
1.
For a special showing of The Wizard of
3.
During a 6-hour sale, a bookstore
Oz, a movie theater sold 75 tickets to
manager counted 246 customers. Of the
adults and 125 tickets to children. Write
total customers, 82 spent more than $20.
the following ratios:
a. Write the ratio of total customers to
a. adults to children in the audience
those spending more than $20.
b. adult tickets sold to total tickets sold
b. Find the rate of customers per hour.
2.
Brett took a test on ratios in his math
4.
Chris earned $855 for a temporary job. She
class. Of the 48 items on the test, he
worked 36 hours the first week and 40
missed 4. Write the following ratios:
hours the second week. Which expression
shows how much she earned per hour?
a. correct answers to total test items
$855
b. incorrect answers to total test items
(1)
36
$855
c. correct to incorrect answers
(2)
40
$855
(3)
2
(36 + 40)
(4)
$855
(5)
$855
(36 + 40)
113
Answers and explanations start on page 315.
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