Question

15. FUNDRAISING Trisha and Byron are washing and vacuuming cars to raise money for a

class trip. Trisha raised $38 washing 5 cars and vacuuming 4 cars. Byron raised $28 by
washing 4 cars and vacuuming 2 cars. Find the amount they charged to wash a car and
vacuum a car.

Answer 1

Explanation:

5w + 4v = 38

4w + 2v = 28......multiply by -2

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5w + 4v = 38

-8w - 4v = - 56 (result of multiplying by -2)

------------------ add

-3w = -18

w = -18/-3

w = 6 <=== it cost $ 6 to wash a car

4w + 2v = 28

4(6) + 2v = 28

24 + 2v = 28

2v = 28 - 24

2v = 4

v = 4/2

v = 2 <=== it cost $ 2 to vacuum a car