Question

A painter has 1 gallon of paint for a dollhouse. He uses $\frac{3}{8}$ gallons to paint the walls and $\frac{1}{5}$ gallon to paint the ladder. He needs $\frac{1}{4}$ gallons to paint the roof. Then which of the following are correct.

• A. He need $\frac{1}{2}$ gallons of paint.
• B. He need $\frac{1}{20}$ gallons of paint.
• C. He doesn’t have enough paint.
• D. He has enough paint

Answer 1

The correct option is D He has enough paint

The painter uses $\frac{3}{8}$ gallons to paint the walls.
The painter uses $\frac{1}{5}$ gallon to paint the ladder.
The painter has 1 gallon of paint for a dollhouse.
Total amount of paint used = Paint used to paint the walls + Paint used to paint the ladder $=\frac{3}{8}+\frac{1}{5}=\frac{15}{40}+\frac{8}{40}=\frac{23}{40}\text{gallons}$
Amount of paint remaining = 1 gallon of paint − Total amount of paint used $=1-\frac{23}{40}=\frac{40}{40}-\frac{23}{40}=\frac{40-23}{40}=\frac{17}{40}$

This is greater than $\frac{1}{4}$ or $\frac{10}{40}$ gallons, which is needed for the roof.
So, the painter has enough paint.