SOLUTION: Ian spent 3/5 of his money on a book and 1/4 of the remainder on a pen. If the book costs 350 pesos more than the pen, how much money did he have at first?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Ian spent 3/5 of his money on a book and 1/4 of the remainder on a pen. If the book costs 350 pesos more than the pen, how much money did he have at first?      Log On


   



Question 771290: Ian spent 3/5 of his money on a book and 1/4 of the remainder on a pen. If the book costs 350 pesos more than the pen, how much money did he have at first?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount of money he had at first
Ian spent +%283%2F5%29%2Ax+ on a book
+%282%2F5%29%2Ax+ is left
He spent +%281%2F4%29%2A%282%2F5%29%2Ax+=+%281%2F10%29%2Ax+ on a pen
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+%283%2F5%29%2Ax+=+%28+1%2F10+%29%2Ax+%2B+350+
+%286%2F10%29%2Ax+-+%281%2F10%29%2Ax+=+350+
+.5x+=+350+
+x+=+700+
He had 700 pesos
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check:
The pen costs +%281%2F10%29%2A700+=+70+
The book costs +%283%2F5%29%2A700+=+420+
+70+%2B+420+=+490+
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There is +x+%2A%28+1+-+%28+6%2F10+%2B+1%2F10+%29+%29+=+%283%2F10%29%2Ax+
+%283%2F10%29%2A700+=+210+
and
+490+%2B+210+=+700+
OK