Question

A company dyes two sizes of rugs. A small rug requires 2 hours for dyeing and a medium-size rug requires 3 hours for dyeing. The dyers need to make at least 15 rugs, and they must do it in less than 60 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 15 to create a system that represents this situation?
2x + 3y < 60

3x + 2y < 60

2x + 3y > 60

3x + 2y > 60

Answer 1

X + y > = 15.....this is saying that small rugs (x) + medium rugs (y) when made, are greater then or equal to 15...because they have to make at least 15

and since small rugs take 2 hrs......2x....and medium rugs take 3 hrs....3y...and they have to be made in less then 60 hrs...
2x + 3y < 60 <=== ur answer