Question

2. 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

X = t-shirts y = cars
A.
292.55 = 15x + 12y
747.5 = 45x + 10y.
B. 
292.55 = 15x + 12(0)
292.55 = 15x
$19.5 = x
C.
292.55 = 15(0) + 12y
292.55 = 12y
$24.37 = y