Exercise 11 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 what percent of 300 is 0.6. Let n represent the percent. 0.6/300=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.

0.6/300=n/100

CrossMult

Cross multiply

0.6* 100= 300 * n

Multiply

Multiply

60=300n

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

60=300n

DivEqn

.LHS /300.=.RHS /300.

60/300=300n/300

CancelCommonFac

Cancel out common factors

60/300=300n/300

SimpQuot

Simplify quotient

60/300 = n

CalcQuot

Calculate quotient

0.2 = n

RearrangeEqn

Rearrange equation

n = 0.2

We got that n= 0.2 is a solution to the proportion. This means that 0.6 is 0.2 % of 300.