Question

Marco volunteered to help with a home remodeling project at his grandparents' house, but he also needs to study to maintain good grades. He decided he can spend no more than 36 hours on painting walls and framing windows. He needs 2

hours to paint a wall and 3 hours to frame a large window. Write an inequality to represent the constraints.

Answer 1

2w + 3x ≤ 36

Explanation:

Given that :

Hours needed to paint wall = 2 hours

Hours required to frame window = 3 hours

Total hours to spend ≤ 36

Let :

Number of walls to paint = w

Number of windows to frame = x

Hence,

Hours required to paint a wall * number of waas to paint) + (hours required to frame a window * Number of windows to frame.)

(2*w) + (3*x) ≤ 36

2w + 3x ≤ 36