Question

If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall, how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall? Express your answer as a common fraction.

Answer 1

Answer:2/3

Explanation:

I did mathcounts

Answer 2

2/3

Explanation:

We are told in the question that

If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall

9 foot by 10 foot wall = an area of 9 × 10 = 90ft² × 2 coats of paint = 1 quart of paint

We are to find how many quarts of paint are needed

how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall .

10 × 12 = 120ft² × 1 coat of paint = x quart

Mathematically, if

One quart of paint = 90ft² × 2

x quart of paint = 120ft² × 1

Cross multiply

90ft²× 2 × x = 120ft²

x = 120/180

x = 2/3 quart of paint