Exercise 15 Page 251

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 35% is equal to 35 by substituting p%= 0.35 and a= 35 into the formula and solve for w using the Properties of Equality.

a= p% * w

SubstituteII

p%= 0.35, a= 9

35= 0.35 * w

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Solve for w

DivEqn

.LHS /0.35.=.RHS /0.35.

35/0.35=0.35* w/0.35

CancelCommonFac

Cancel out common factors

35/0.35=0.35* w/0.35

SimpQuot

Simplify quotient

35/0.35=w

CalcQuot

Calculate quotient

100=w

RearrangeEqn

Rearrange equation

w= 100

Knowing the value of w, let's look at the completed percent equation. 35= 35% * 100 We found that 35 is 35 % of 100.