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.

Question

Mathematics

Brady Hoover

25 March, 13:24

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.

+1

Answers (1)

Know the Answer?

Gabrielle Simon · 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