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Since the ratio is equal to the ratio, we have the proportion ratio, we have the proportion called the percent proportion. Writing Percent Problems as Proportions..., 3 Martin-Gay, Prealgebra, 5ed
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Solving Percent Problems Solving Percent Problems with Proportionswith Proportions
Section 7.3
To understand the proportion To understand the proportion method, recall that 30% means themethod, recall that 30% means the
ratio of 30 to 100, or .ratio of 30 to 100, or .
30%
Writing Percent Problems as Writing Percent Problems as ProportionsProportions
30100
30100
310
2Martin-Gay, Prealgebra, 5ed
Since the ratio is equal to theSince the ratio is equal to the
ratio , we have the proportionratio , we have the proportion
called the called the percent proportionpercent proportion..
Writing Percent Problems as Writing Percent Problems as Proportions . . .Proportions . . .
,,
301003
1030 3
100 10
3Martin-Gay, Prealgebra, 5ed
always 100
or
percentbase
amount
Percent ProportionPercent Proportion
amount percentbase 100
100a pb
4Martin-Gay, Prealgebra, 5ed
When we translate percent problems to When we translate percent problems to proportions, the proportions, the percentpercent can be can be identified by looking for the symbol % identified by looking for the symbol % or the word or the word percentpercent. The . The basebase usually usually follows the word follows the word ofof. The . The amountamount is the is the part compared to the whole.part compared to the whole.
5Martin-Gay, Prealgebra, 5ed
Helpful HintHelpful Hint
Part of Part of ProportionProportion
How It’s How It’s IdentifiedIdentified
Percent Percent % or percent% or percentBase Base Amount Amount
Appears after Appears after of of
Part compared to Part compared to whole whole
6Martin-Gay, Prealgebra, 5ed
What number is 20% of 8?
amount percent base
amountbase
percent
Solving Percent Proportions for Solving Percent Proportions for the Amountthe Amount
208 100a
7Martin-Gay, Prealgebra, 5ed
20 is 40% of what number?
amount percent base
amountbase
percent
Solving Percent Proportions for Solving Percent Proportions for the Basethe Base
20 40100b
8Martin-Gay, Prealgebra, 5ed
What percent of 40 is 8?
amountpercent base
amountbase
percent
Solving Percent Proportions for Solving Percent Proportions for the Percentthe Percent
840 100
p
Helpful HintHelpful HintRecall from our percent proportion that this number, p already is a percent. Just keep the number the same and attach a % symbol. 9
Helpful HintHelpful Hint
A ratio in a proportion may be simplified A ratio in a proportion may be simplified before solving the proportion. The before solving the proportion. The unknown number in bothunknown number in both
andand
is 20.
6 304 b
3 302 b
10Martin-Gay, Prealgebra, 5ed