SOLUTION: Brandon spent 3/7 of his money. He gave 3/4 of the remainder to his sister. He had $86 left. How much money did he have in the beginning? Show your work!

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Brandon spent 3/7 of his money. He gave 3/4 of the remainder to his sister. He had $86 left. How much money did he have in the beginning? Show your work!      Log On


   

Question 1114491: Brandon spent 3/7 of his money. He gave 3/4 of the remainder to his sister. He had $86 left. How much money did he have in the beginning? Show your work!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, original amount of money, dollars

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Brandon spent 3/7 of his money.
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He then had %284%2F7%29x dollars.

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He gave 3/4 of the remainder to his sister.
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He then had %281%2F4%29%284%2F7%29x dollars.

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He had $86 left.
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Those two are now equal.
highlight_green%28%281%2F4%29%284%2F7%29x=86%29
Simplify and solve.