Asked by Anonymous

How much did Aaron start with?

Aaron spent 3/7 of his money. He gave ¼ of the remainder to his sister. He had $120 left. How much money did he have in the beginning? Explain how you got your answer.

The way you solved this problem was wrong.Aaron did not start out with 3/7 you have to work bacwards in the problem and that is what is confusing me
Answered by Damon
He spent 3/7 which left him with 4/7 !!!
7/7 - 3/7 = 4/7

then he gave away 1/4 of his 4/7
1 - 1/4 = 3/4
so he is left with
4/7 * 3/4
Answered by Damon
Look at this simpler problem:

http://www.jiskha.com/display.cgi?id=1423783632
Answered by Anonymous
What did he start with not left with plus he left with 120 dollars and he started with 3?I don't think that is resonable.
Answered by Anonymous
It's not suppoesd to be a fraction!!
Answered by Damon
he started with x

he spent 3/7 of x
then he had 4/7 of x left

he then gave his sister 1/4 of 4/7 of x
so he was left with 3/4 of 4/7 of x

that is 120
so
3/4 * 4/7 * x = 120

3/7 * x = 120

x = 40*7 = 280
===========================
NOW spend 3/7 * 280 = 120
280 - 120 = 160 left
now give your sister 1/4 of the 160 or 40
left with 160 - 40 = 120
sure enough
Believe it yet ?
Answered by Damon
HE HAD 280 dollars. That is the answer. It is not a fraction.
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