document.write( "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 Ł156 less than he started with.How much birthday money did he get? \n" ); document.write( "

Algebra.Com's Answer #375496 by KMST(5328) $\"\"$ $\"About$

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If he got x (in Ł) 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.
\n" ); document.write( "So, he spent $\"%285%2F7%29%289%2F10%29x\"$ to celebrate and $\"%281%2F10%29x\"$ to pay of the loan.
\n" ); document.write( "Then, he was left with (in Ł)
\n" ); document.write( " $\"x-%281%2F10%29x-%285%2F7%29%289%2F10%29x=156\"$ --> $\"x%281-1%2F10-45%2F70%29=156\"$ --> $\"x%2870%2F70-7%2F70-45%2F70%29=156\"$ --> $\"%2818%2F70%29x=156\"$ --> $\"x=156%2A70%2F18\"$ --> $\"x=26%2A70%2F3\"$ --> $\"x=26%2A70%2F3\"$ --> $\"x=1820%2F3\"$ --> $\"x=606%262%2F3\"$
\n" ); document.write( "The strange thing is the fraction. \n" ); document.write( "

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