Exercise 2 Page 124

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 2 % of 35, which means that we want to find the part. Let x represent the part. x/35=2/100 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/35=2/100

CrossMult

Cross multiply

x* 100= 35* 2

Multiply

Multiply

100x=70

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

100x=70

DivEqn

.LHS /100.=.RHS /100.

100x/100=70/100

CancelCommonFac

Cancel out common factors

100x/100=70/100

SimpQuot

Simplify quotient

x=70/100

CalcQuot

Calculate quotient

x=0.7

We got that x= 0.7 is a solution to the proportion. This means that 2 % of 35 is equal to 0.7.