SOLUTION: Ms. Brooks and Mrs. Gray had the same amount of money. Ms. Brooks gave $1,140 to a charity, and Mrs. Gray gave $580 to a different charity. In the end, Mrs. Gray had 9 times as muc

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Ms. Brooks and Mrs. Gray had the same amount of money. Ms. Brooks gave $1,140 to a charity, and Mrs. Gray gave $580 to a different charity. In the end, Mrs. Gray had 9 times as muc      Log On

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Question 999247: Ms. Brooks and Mrs. Gray had the same amount of money. Ms. Brooks gave $1,140 to a charity, and Mrs. Gray gave $580 to a different charity. In the end, Mrs. Gray had 9 times as much money as Ms. Brooks. How much money did each person have at first?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Ms. Brooks and Mrs. Gray had the same amount of money. let it be x

Ms. Brooks gave $1,140 to a charity, she had (x-1140) balance
and Mrs. Gray gave $580 to a different charity. she had (x-580) balance
In the end, Mrs. Gray had 9 times as much money as Ms. Brooks.
9(x-1140) = (x-580)
9x-10260 = x - 580
9x-x = 10260-580
8x =9680
x=1210