SOLUTION: After spending 3/8 of on food and 1/4 on housing, sonny was left with $960. How much money did he have originally

Question 767056: After spending 3/8 of on food and 1/4 on housing, sonny was left with $960. How much money did he have originally
Found 2 solutions by josgarithmetic, nerdybill:
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Original money quantity, N.
fits the description of spending portions from N and having 960 as a result after that spending occurred.

From that equation, you can factor N on the left side, and you have a couple of choices how to go next.

Maybe just do the arithmetic computation in denominations of (1/8) units.

That allows revising equation to:

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
After spending 3/8 of on food and 1/4 on housing, sonny was left with $960. How much money did he have originally
.
Let x = amount ($) started with
then
x - (3/8)x - (1/4)x = 960
x(1 - 3/8 - 1/4) = 960
x(8/8 - 3/8 - 2/8) = 960
x((8-3-2)/8) = 960
x(3/8) = 960
x = 960(8/3)
x = 320(8)
x = $2560

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