SOLUTION: Tina, Dawn and Harry raised $175 total for their class trip. Tina raised three times as much as Dawn. Dawn raised twice as much as Harry. How much did each raise?

Algebra ->  Equations -> SOLUTION: Tina, Dawn and Harry raised $175 total for their class trip. Tina raised three times as much as Dawn. Dawn raised twice as much as Harry. How much did each raise?       Log On


   



Question 170837: Tina, Dawn and Harry raised $175 total for their class trip. Tina raised three times as much as Dawn. Dawn raised twice as much as Harry. How much did each raise?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call what Tina,Dawn,and Harry raised, t,d,and h respectively
:
t+d+h=175......eq 1
t=3d...........eq 2
d=2h...........eq 3
:
lets re write eq 3 as h=d/2......now take the revised value of h and t's value in eq 2 and plug them into eq 1
:
3d+d+(d/2)=175......multiply all terms by 2
:
6d+2d+d=350
:
9d=350
:
highlight%28d=38.89%29dollars raised by dawn
highlight%28h=38.89%2F2=19.44%29dollars raised by harry
highlight%28t=38.89%283%29=116.67%29dollars raised by tina