Question

If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?

Answer 1

Explanation:

The liquid measure of 1 quart is such that there are 4 of them to 1 gallon.

The question has mixed units so these need to be converted so that there is only 1 measurement type used.

The question requires that the answer be given in quarts. So this is our standardised unit.

There are 4 quarts to 1 gallon so a quart is 1/4 of a gallon. This matches the paint volume given so we can read as:

1 quart of paint covers 1/12 of a wall.

The entire wall is

12/12

So we need

1 quart× 12

=1/12× 12 of a wall

⇒12quarts =12/12 of a wall

So the entire wall needs 12 quarts.

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