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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

3. The Percent Equation

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Exercise 17 Page 251

The percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole.

145 %

Practice makes perfect

The percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole. We can represent a is p percent of wwith the following equation. a= p% * wWe can find what percent of 20 is equal to 29 by substituting a= 29 and w= 20 into the formula and solve for p% using the Properties of Equality.

a= p% * w

a= 29, w= 20

29= p% * 20

▼

Solve for p%

.LHS /20.=.RHS /20.

29/20=p% * 20/20

CancelCommonFac

Cancel out common factors

29/20=p% * 20/20

Simplify quotient

29/20=p%

Calculate quotient

1.45=p%

Rearrange equation

p%= 1.45

Since 1.45 equals 145%, we can complete percent equation. 29= 145% * 20 We found that 29 is 145 % of 20.

Subchapter links

Try It p.248-249

Self-Assessment for Concept & Skills p.249

Self-Assessment for Problem Solving p.250

Review & Refresh p.251

Concept, Skills, & Problem Solving p.251-252