# Math

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

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1. 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

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posted by Damon
2. Look at this simpler problem:

http://www.jiskha.com/display.cgi?id=1423783632

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posted by Damon
3. 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.

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4. It's not suppoesd to be a fraction!!

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5. 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 ?

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posted by Damon
6. HE HAD 280 dollars. That is the answer. It is not a fraction.

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posted by Damon

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