Question 684209: Hello tutor, can you help me on this problem?
Gary and Henry have $2700. if Gary gives $350 to Henry, Henry will have 5 times as much money as Gary. How much does Gary have before the transfer?
Let Gary have $N before the transfer.
Thank you!
Found 2 solutions by ReadingBoosters, MathTherapy:
Answer by ReadingBoosters(3246)   (Show Source):
You can put this solution on YOUR website! N + H = 2700
H + 350 = 5(N-350)
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N = 2700 - H
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Substitution
H + 350 = 5N - 1750
H + 350 = 5(2700-H) - 1750
H + 350 = 13500 - 5H - 1750
H + 5H = 13500 - 1750 - 350
6H = 11400
H = 1900
...
N = 2700 - H = 2700 - 1900 = 800
 before the transfer
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Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
Hello tutor, can you help me on this problem?
Gary and Henry have $2700. if Gary gives $350 to Henry, Henry will have 5 times as much money as Gary. How much does Gary have before the transfer?
Let Gary have $N before the transfer.
Thank you!
Since Gary had $N before transfer, then Henry had $(2,700 N)
After Gary gives Henry $350, Gary will have N 350, and Henry will have 2,700 N + 350, or 3,050 N
Since after the transfer, Henry will have 5 times as much money as Gary, then 3,050 N = 5(N 350) ------ 3,050 N = 5N 1,750
- N 5N = - 1,750 3,050
6N = - 4,800
N, or original amount Gary had before the transfer =  , or $
You can do the check!!
Send comments and thank-yous to D at MathMadEzy@aol.com
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