Question

How much more paint will he need to paint an additional 423 square feet of wall?

Answer 1

B. 3/5 gallons

Step-by-step 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:

`\frac{Gallons}{Square\text{ feet}}=\frac{\text{ 2/5}}{282}=(x)/(423)`

Where x is the number of gallons required to paint 423 square feet of the wall.

Then, solving for x, we get:

`\begin{gathered} \frac{\text{ 2/5}}{282}=(x)/(423) \\ (2)/(5)((1)/(282))=(x)/(423) \\ (2)/(5(282))=(x)/(423) \\ (1)/(705)=(x)/(423) \\ (1)/(705)(423)=(x)/(423)(423) \\ (3)/(5)=x \end{gathered}`

Therefore, he will need 3/5 gallons. So, the answer is:

B. 3/5 gallons