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!


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 = {{{(- 4800)/- 6}}}, or ${{{highlight_green(800)}}}


You can do the check!!


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