Exercise 10 Page 249

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 12% is equal to 9 by substituting p%= 0.12 and a= 9 into the formula and solve for w using the Properties of Equality.

a= p% * w

SubstituteII

p%= 0.12, a= 9

9= 0.12 * w

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Solve for w

DivEqn

.LHS /0.12.=.RHS /0.12.

9/0.12=0.12* w/0.12

CancelCommonFac

Cancel out common factors

9/0.12=0.12* w/0.12

SimpQuot

Simplify quotient

9/0.12=w

CalcQuot

Calculate quotient

75=w

RearrangeEqn

Rearrange equation

w= 75

Knowing the value of w, let's look at the completed percent equation. 9= 12% * 75 We found that 9 is 12 % of 75.