Solving for variables

Question

You are selling tshirts and sweatpants at a fundraiser for yoour math class. You are selling the tshirts for $7.00 and sweatpants for $15.00. You sell a total of 580 items for a total of $5204.00. How many of each item did you sell?

Answer 1

T-shirts =x

sweatpants=y

 

7x + 15y=5204

x + y=580

 

x=580-y

 

7(580-y)+15y=5204

4060-7y+15y=5204

4060+8y=5204

8y=5204-4060

8y=1144

y=143 Sweatpants

 

x=580-143

x=437 T-shirts