Answer
Possible combinations are:
8 t-shirts and 0 sweatshirts
0 t-shirts and 10 sweatshirts
5 t-shirts and 4 sweatshirts
Work Step by Step
You are given 12x+15y=120 where x represents t-shirts and y represents sweatshirts. Plug in x=0 to find y and vice-versa:
x=0
12x+15y=120
12(0)+15y=120
15y=120
y=8
When there are 0 shirts there are 8 sweatshirts
y=0
12x+15y=120
12x+15(0)=120
12x=120
x=10
When there are 0 sweatshirts there are 10 shirts.
When you graph, you see there is a point (5,4) meaning when there are 5 shirts there are 4 sweatshirts.
