SOLUTION: Hi Henry and Cecilia had a sum of 240 dollars. Henry received one quarter of Cecilia s money. He then gave 3/8 of the money he had to Cecilia. Finally each of them had the same a

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi Henry and Cecilia had a sum of 240 dollars. Henry received one quarter of Cecilia s money. He then gave 3/8 of the money he had to Cecilia. Finally each of them had the same a      Log On

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Question 1122669: Hi
Henry and Cecilia had a sum of 240 dollars. Henry received one quarter of Cecilia s money. He then gave 3/8 of the money he had to Cecilia. Finally each of them had the same amount of money. Find the original amount of money that henry had.
thanks

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
h%2Bc=240

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Henry received one quarter of Cecilia s money.
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henryh%2Bc%2F4,
cecilia%283%2F4%29c


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He then gave 3/8 of the money he had to Cecilia.
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henry%285%2F8%29%28h%2Bc%2F4%29
cecila%283c%2F4%29%2B%283%2F8%29%28h%2Bc%2F4%29



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Finally each of them had the same amount of money.
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system%28%285%2F8%29%28h%2Bc%2F4%29=%283c%2F4%29%2B%283%2F8%29%28h%2Bc%2F4%29%2Ch%2Bc=240%29
Simplify and solve the system.

Also, at the end, each of them had 120 dollars.