SOLUTION: If a girl spent one-fifth of her money on stamps and twice as much on postcards, then had $1 left, how much did she have to start with?

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Question 772338: If a girl spent one-fifth of her money on stamps and twice as much on postcards, then had $1 left, how much did she have to start with?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount she had to start with
She spent one-fifth of her money on stamps
so she had +%28+4%2F5%29%2Ax+ left
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Then she spent +%282%2F5%29%2Ax+ on postcards
Then she had +%284%2F5%29%2Ax+-+%282%2F5%29%2Ax+=+%282%2F5%29%2Ax+ left
+%282%2F5%29%2Ax+=+1+
+x+=+%285%2F2%29%2A1+
+x+=+2.5+
She had $2.50 to start with
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check:
she spent 1/5 on stamps:
+2.5%2F5+=+.5+
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She had $2.00 left
Then she spent +2%2A.5+=+1+ on postcards
+2+-+1+=+1+
She had $1 left