Question

If 3/4 gallon of paint covers 1/3 of a wall, then how many gallons of paint are needed for 4 walls?

a) 3 gallons
b) 4 gallons
c) 5 gallons
d) 6 gallons

Answer 1

To paint four walls, 9 gallons of paint are required. The provided options do not include the correct answer.

Step-by-step explanation:

If 3/4 gallon of paint covers 1/3 of a wall, we can first find how much paint is needed for one whole wall by setting up a proportion where x represents the gallons needed for one wall:

\(\frac{3}{4} \text{ gallons} : \frac{1}{3} \text{ wall} = x \text{ gallons} : 1 \text{ wall}\)

Cross-multiplying gives us:

\(\frac{3}{4} \times 1 = \frac{1}{3} \times x\)

Solving for x yields \(x = \frac{3}{4} \times 3 = \frac{9}{4} = 2.25\text{ gallons}\).

Therefore, one wall requires 2.25 gallons of paint. For four walls, we would need:

\(2.25 \text{ gallons/wall} \times 4 \text{ walls} = 9 \text{ gallons}\)

Hence, the total number of gallons needed for four walls is 9 gallons. Option d) 6 gallons is not correct; none of the options provided are correct.