Exercise 3 Page 215

For the given ratios to be equivalent, we need them to be proportional. First we will write them as fractions and then we can set them equal to one another. Then we will have a proportion that we can solve for x. rc First Ratio: & 9:x ⇒ 9/x [0.8em] Second Ratio: & 54:8 ⇒ 54/8 [0.8em] Proportion: & 9/x=54/8To solve the proportion, we will start by using the Cross Products Property.

9/x=54/8

CrossMult

Cross multiply

9* 8=54* x

Multiply

Multiply

72=54x

From here, we will continue solving for x by using the Division Property of Equality.

72=54x

DivEqn

.LHS /54.=.RHS /54.

72/54=x

ReduceFrac

a/b=.a /18./.b /18.

4/3=x

▼

Write fraction as a mixed number

WriteSum

Write as a sum

3+1/3=x

WriteSumFrac

Write as a sum of fractions

3/3+1/3=x

CalcQuot

Calculate quotient

1+1/3=x

AddTerms

Add terms

1 13=x

RearrangeEqn

Rearrange equation

x=1 13