A contractor finds that 5 gallons of paint will cover 1000 sq ft of wall area. How much wall area could be covered with 10 gallons of​ paint?

1 answer

To determine how much wall area can be covered with 10 gallons of paint, we can use the coverage rate found in the problem:

  1. Find the coverage per gallon:

    • If 5 gallons cover 1000 square feet, then 1 gallon covers: \[ \text{Coverage per gallon} = \frac{1000 \text{ sq ft}}{5 \text{ gallons}} = 200 \text{ sq ft/gallon} \]
  2. Calculate the coverage for 10 gallons:

    • If 1 gallon covers 200 square feet, then 10 gallons will cover: \[ \text{Area covered} = 10 \text{ gallons} \times 200 \text{ sq ft/gallon} = 2000 \text{ sq ft} \]

Therefore, 10 gallons of paint will cover 2000 square feet of wall area.