Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?

1 answer

To find out how much paint Mr. Savage will need to cover 1,800 square feet, we first need to determine the paint coverage rate per square foot.

We know that 3 gallons of paint cover 1,350 square feet. Therefore, the coverage rate is:

\[ \text{Coverage rate} = \frac{3 \text{ gallons}}{1,350 \text{ square feet}} = \frac{3}{1350} \text{ gallons per square foot} = \frac{1}{450} \text{ gallons per square foot} \]

Next, we calculate how much paint will be needed for 1,800 square feet using the coverage rate:

\[ \text{Paint needed} = 1,800 \text{ square feet} \times \frac{1}{450} \text{ gallons per square foot} \]

Calculating this gives:

\[ \text{Paint needed} = \frac{1,800}{450} = 4 \text{ gallons} \]

Thus, Mr. Savage will need 4 gallons of paint to cover 1,800 square feet.