Question

Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

Answer 1

`\frac{\$18.45}{n \text { gallon}} = \frac{\$3.60}{7.5 \text { gallon}}`

Cross multiply

`n * \ 3.60 = 7.5 * \ 18.45`

Combine like terms

`3.60n = 138.375`

Find n

`n = 138.375/ 360`

Answer

`n = 0.38 \text { (nearest hundredth)}`

Answer 2

m = 38.44

Explanation:

Let's consider the following proportion.

$18.45/m gal = $3.60/7.5gal

According to the cross products property of proportions, the product of the means is equal to the product of the extremes.

$18.45 × 7.5gal = m gal × $3.60

m gal = $18.45 × 7.5gal/ $3.60

m gal = 38.44gal

m = 38.44