Exercise 6 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 180% is equal to 90 by substituting p%= 1.8 and a= 90 into the formula and solve for w using the Properties of Equality.

a= p% * w

SubstituteII

p%= 1.8, a= 90

90= 1.8 * w

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Solve for w

DivEqn

.LHS /1.8.=.RHS /1.8.

90/1.8=1.8* w/1.8

CancelCommonFac

Cancel out common factors

90/1.8=1.8* w/1.8

SimpQuot

Simplify quotient

90/1.8=w

CalcQuot

Calculate quotient

50=w

RearrangeEqn

Rearrange equation

w= 50

Knowing the value of w, let's look at the completed percent equation. 90= 180% * 50 We found that 90 is 180 % of 50.