SOLUTION: Linda spend 1/2 of her money on food, 1/4 of the remainder on clothes.and 2/3 of the remainder on shoes .after shopping she had balance of 300 how much money she had before shoppin

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Question 696444: Linda spend 1/2 of her money on food, 1/4 of the remainder on clothes.and 2/3 of the remainder on shoes .after shopping she had balance of 300 how much money she had before shopping
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount of money she started with.
She spent +x%2F2+ on food
So she had +x%2F2+ left
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She spent +%281%2F4%29%2A%28x%2F2%29+=+x%2F8+
on clothes
So she has +x%2F2+-+x%2F8+=+%283%2F8%29%2Ax+ left
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She spent +%282%2F3%29%2A%283%2F8%29%2Ax+=+%281%2F4%29%2Ax+
on shoes
So she has +%283%2F8%29%2Ax+-+%281%2F4%29%2Ax+=+%281%2F8%29%2Ax+ left
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given:
+%281%2F8%29%2Ax+=+300+
+x+=+2400+
She had $2,400 before shopping
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check answer:
She spent half of $2,400 on food, so
she had $1,200 left
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She spent 1/4 of $1,200 on clothes,
so she had 3/4 of $1,200 left, or
$900 left
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She spent 2/3 of $900 on shoes, so
she had 1/3 of $900 left, or $300
OK