SOLUTION: John used 10% of his birthday money to pay off a loan and spent five-sevenths of the remaining money on a day out to celebrate,leaving him with £156 less than he started with.How m

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: John used 10% of his birthday money to pay off a loan and spent five-sevenths of the remaining money on a day out to celebrate,leaving him with £156 less than he started with.How m      Log On

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Question 590418: John used 10% of his birthday money to pay off a loan and spent five-sevenths of the remaining money on a day out to celebrate,leaving him with £156 less than he started with.How much birthday money did he get?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If he got x (in £) for his birthday, he spent 10%x=%2810%2F100%29x=0.1x=%281%2F10%29x to pay of the loan and 5%2F7 of the remaining x-0.1x=0.9x=%289%2F10%29x to celebrate.
So, he spent %285%2F7%29%289%2F10%29x to celebrate and %281%2F10%29x to pay of the loan.
Then, he was left with (in £)
x-%281%2F10%29x-%285%2F7%29%289%2F10%29x=156 --> x%281-1%2F10-45%2F70%29=156 --> x%2870%2F70-7%2F70-45%2F70%29=156 --> %2818%2F70%29x=156 --> x=156%2A70%2F18 --> x=26%2A70%2F3 --> x=26%2A70%2F3 --> x=1820%2F3 --> x=606%262%2F3
The strange thing is the fraction.