Exercise 10 Page 125

Let's start by recalling that the percent proportion is a proportion that sets the ratio of a part of a whole equal to the ratio of a percent out of 100. part/whole=percent/100 We want to find the number of which 12.5 % is 24, which means that we want to find the whole. Let w represent the whole. 24/w=12.5/100 Now we can solve the proportion we got for w. Let's do this by using the fact that the cross products of any proportion are equal.

24/w=12.5/100

CrossMult

Cross multiply

24* 100= w * 12.5

Multiply

Multiply

2400=12.5w

Finally, we will use the Division Property of Equality to get the value of w.

2400=12.5w

DivEqn

.LHS /12.5.=.RHS /12.5.

2400/12.5=12.5w/12.5

CancelCommonFac

Cancel out common factors

2400/12.5=12.5w/12.5

SimpQuot

Simplify quotient

2400/12.5 = w

CalcQuot

Calculate quotient

192 = w

RearrangeEqn

Rearrange equation

w = 192

We got that w= 192 is a solution to the proportion. This means that 24 is 12.5 % of 192.