Question

Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used for two hours. The second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute. Together they painted 5850 square feet of wall. How many square feet of wall per minute can each machine paint?e used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used for two hours. The second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute. Together they painted 5850 square feet of wall. How many square feet of wall per minute can each machine paint?

Answer 1

Explanation:

To solve this problem we need to solve a system of equations. We have two machines:

The machine "Paint Pro" is used for two hours.

The machine "Goldilocks" is used for an hour and a half.

When they are working at the same time, they can paint 55 square feet per minute. Together they painted 5850 square feet of wall.

Therefore, we have the following system of equations:

P + G = 55 ft^2/m

120P + 90G = 5850 ft^2 → 4P + 3G = 195

Solving the system of equations we have that:

P = 25

G = 30

Therefore, the paint pro paints 30sqft per minute and Goldilocks paints 25 sqft per minute.