5.2 Percent Converting Between Fractions, Decimals, And Percents Worksheet Page 7

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Example 6
A car salesperson earns $662.50 commission on the sale of a car with a purchase
price of $26,500. If her commission rate is a percent based on the purchase price,
find the salesperson’s commission rate expressed as a percent.
commission
Solution
Her commission rate is given as the ratio
. We want to find the
purchase price
x
$662.50
ratio
which is equivalent to
. Setting up and solving the
100
$26, 500
proportion:
x
662.50
=
100
26500
x
662.50
= 26500 •
26500 •
100
26500
265x = 662.50
662.5
x =
= 2.5%
265
The salesperson’s commission rate is 2.5%.
In the next section we will solve a variety of additional percent problems.
Terminology
percent
Exercise Set 5.2
Convert each percent to a fraction. Be sure to reduce all answers.
1.
35%
2.
75%
3.
48%
4.
56%
5.
90%
6.
24%
7.
2.5%
8.
19.8%
9.
6.5%
10. 4.4%
11. 1.25%
12. 0.8%
13. 175%
14. 240%
15. 500%
16. 320%
378

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