Answer:
B. 3/5 gallons
Explanation:
The ratio of the number of gallons of paint to the square feet of the wall is constant. So, we can write the following equation:
[tex]\frac{Gallons}{Square\text{ feet}}=\frac{\text{ 2/5}}{282}=\frac{x}{423}[/tex]
Where x is the number of gallons required to paint 423 square feet of the wall.
Then, solving for x, we get:
[tex]\begin{gathered} \frac{\text{ 2/5}}{282}=\frac{x}{423} \\ \frac{2}{5}(\frac{1}{282})=\frac{x}{423} \\ \frac{2}{5(282)}=\frac{x}{423} \\ \frac{1}{705}=\frac{x}{423} \\ \frac{1}{705}(423)=\frac{x}{423}(423) \\ \frac{3}{5}=x \end{gathered}[/tex]
Therefore, he will need 3/5 gallons. So, the answer is:
B. 3/5 gallons
