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7.2

Solving Percent Problems with

Equations

Martin-Gay, Prealgebra, 6ed 22

Key Words

of means multiplication (∙)

is means equals ()

what (or some equivalent) means the unknown number

Let x stand for the unknown number.

Page 3: Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.2 Solving Percent Problems with Equations

Martin-Gay, Prealgebra, 6ed 33

Remember that an equation is simply a mathematical statement that contains an equal sign ().

6 18x

equal sign

Helpful Hint

Page 4: Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.2 Solving Percent Problems with Equations

Martin-Gay, Prealgebra, 6ed 44

20% of 50 10

20% • 50 10percent base amount

Percent Equationpercent ∙ base amount

Solving Percent Problems

Martin-Gay, Prealgebra, 6ed 55

When solving a percent equation, write the percent as a decimal or fraction.

If your unknown in the percent equation is a percent, don’t forget to convert your answer to a percent.

Helpful Hint

Page 6: Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.2 Solving Percent Problems with Equations

Martin-Gay, Prealgebra, 6ed 66

Use the following to see if your answers are reasonable.

a percent greater than 100%

a percent less than 100%

a number larger than the original number

a number less than the original number

100% of a number the number

Helpful Hint

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