Exercise 25 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 what percent of 25 is 30. Let n represent the percent. 30/25=n/100 Now we can solve the proportion we got for n. Let's do this by using the fact that the cross products of any proportion are equal.

30/25=n/100

CrossMult

Cross multiply

30* 100= 25 * n

Multiply

Multiply

3000=25n

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

3000=25n

DivEqn

.LHS /25.=.RHS /25.

3000/25=25n/25

CancelCommonFac

Cancel out common factors

3000/25=25n/25

SimpQuot

Simplify quotient

3000/25 = n

CalcQuot

Calculate quotient

120 = n

RearrangeEqn

Rearrange equation

n = 120

We got that n= 120 is a solution to the proportion. This means that 30 is 120 % of 25.