Ratios, Rates, And Proportions Worksheet With Answers Page 3
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16RATES are used to compare two unlike quantities with different units. For example, if a car is
driven for 385 miles on 14 gallons of gas in the tank, then we can describe the comparison of
these two quantities as
. Note that the numerator and the denominator have different
units. Just as ratios are simplified to lowest terms, so are rates. The rate of
can be
written in simplest form as
by reducing the fraction. By performing the division,
, we get what is called a unit rate. In this example since
We can describe
the same rate as a unit rate of 27.5 miles per gallon. Unit rates are useful in comparing various
rates as you will see in an example given below.
Example 4
Write each rate 26 cups for 8 people as a fraction in simplest form, then give the unit rate.
Solution:
So, the rate in simplest form is
Since
the unit rate is 3.25 cups per person.
Try this! Write each rate in simplest form, then give the unit rate.
a. 30 pencils for 12 people
b. $27 for 6 lbs of almonds
c. 46 hours in 8 weeks
d. 28,770 new jobs created in 60 months
Answer:
a.
, 2.5 pencils per person
b.
, $4.5 per pound
c.
, 5.75 hours per week
d.
, 479.5 jobs per month
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