Exercise 22 Page 127

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 that is 5 % of 46, which means that we want to find the part. Let x represent the part. x/46=5/100 Now we can solve the proportion we got for x. Let's do this by using the fact that the cross products of any proportion are equal.

x/46=5/100

CrossMult

Cross multiply

x* 100= 46* 5

Multiply

Multiply

100x=230

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

100x=230

DivEqn

.LHS /100.=.RHS /100.

100x/100=230/100

CancelCommonFac

Cancel out common factors

100x/100=230/100

SimpQuot

Simplify quotient

x=230/100

CalcQuot

Calculate quotient

x=2.3

We got that x= 2.3 is a solution to the proportion. This means that 5 % of 46 is equal to 2.3.