Question

The Soccer Club is selling T-shirts and washing cars to raise money for a summer trip. Last week, the club raised $292.50 by selling 15 T-shirts and washing 12 cars. This week, it raised $747.50 by selling 45 T-shirts and washing 10 cars.

(a) Write two equations showing the money the club raised each week, where x is the amount earned per T-shirt sold and y is the amount earned per car washed.
(b) How much does the Soccer Club charge for a T-shirt? Show your work.
(c) How much does the Soccer Club charge for a car wash? Show your work.

Answer 1

I worked the questions out of order, because that got me to the answer while using less decimals.
A:
15x+12y=292.50
45x+10y=747.50
C:
3(15x+12y=292.5)
45x+36y=877.5
-45x-10y=-747.5
26y=130
y=5
B:
15x+12(5)=292.5
15x+60=292.5
15x=232.5
x=15.5