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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 20 Page 251

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

85

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 number's 120% is equal to 102 by substituting p%= 1.2 and a= 102 into the formula and solve for w using the Properties of Equality.

a= p% * w

p%= 1.2, a= 102

102= 1.2 * w

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Solve for w

.LHS /1.2.=.RHS /1.2.

102/1.2=1.2* w/1.2

CancelCommonFac

Cancel out common factors

102/1.2=1.2* w/1.2

Simplify quotient

102/1.2=w

Calculate quotient

85=w

Rearrange equation

w= 85

Knowing the value of w, let's look at the completed percent equation. 102= 120% * 85 We found that 102 is 120 % of 85.

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