One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?
Correct answer: A. P = w/110
- A. P = w/110
- B. P = 440w
- C. P = w / 220
- D. P = 220 w
Explanation
Choice A is correct. It's given that w represents the total wall area, in square feet. Since the walls of the room will be painted twice, the amount of paint, in gallons, needs to cover 2w square feet. It's also given that one gallon of paint will cover 220 square feet. Dividing the total area, in square feet, of the surface to be painted by the number of square feet covered by one gallon of paint gives the number of gallons of paint that will be needed. Dividing 2w by 220 yields 2w/220, or w/110 . Therefore, the equation that represents the total amount of paint P, in gallons, needed to paint the walls of the room twice is P = w/110.
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