Question

Difficulty: EasyRatios and Proportions

A maintenance crew uses $2$ gallons of primer for every $5$ gallons of paint. If the crew uses $10$ gallons of primer, how many gallons of paint are needed?

Answer: 25 / 25 gallons / 25 gal

Answer

The given ratio of primer to paint is

2:5

. Since

10

gallons of primer is

5

times the original

2

gallons, you must also multiply the

5

gallons of paint by

5

to maintain the ratio. Therefore,

5 \times 5 = 25

gallons of paint are needed.

Step-by-Step Solution

Set up a proportion using the given ratio of primer to paint.

\frac{2}{5} = \frac{10}{x}

To relate the base ratio to the actual amounts used, where

x

represents the unknown gallons of paint.

Solve the proportion for

x

x = \frac{5 \times 10}{2} = 25

Using cross-multiplication isolates

x

to find the required amount of paint.

Key Concept

Solving direct proportions

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