SOLUTION: One afternoon, Carli went to the mall and spent $4 on a frozen yogurt cone. She spent 1/4 of her remaining money on nail polish. Then she let her friend borrow 1/3 of the money she

Algebra ->  Inverses -> SOLUTION: One afternoon, Carli went to the mall and spent $4 on a frozen yogurt cone. She spent 1/4 of her remaining money on nail polish. Then she let her friend borrow 1/3 of the money she      Log On


   



Question 1103813: One afternoon, Carli went to the mall and spent $4 on a frozen yogurt cone. She spent 1/4 of her remaining money on nail polish. Then she let her friend borrow 1/3 of the money she had left. If Carli had $8 at the end of the afternoon, how much money did Carli have when she entered the mall?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the amount she had when
she entered the mall
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+x+-+4+ = amount after buying cone
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+%283%2F4%29%2A%28+x+-+4+%29+ = amount after spending
1/4 on nail polish
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+%282%2F3%29%2A%283%2F4%29%2A%28+x+-+4+%29+ = amount after lending
1/3 to friend
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+%282%2F3%29%2A%283%2F4%29%2A%28+x+-+4+%29+=+8+
+%281%2F2%29%2A%28x+-+4+%29+=+8+
+x+-+4+=+16+
+x+=+20+
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She entered the mall with $20
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check:
+20+-+4+=+16+
+%283%2F4%29%2A16+=+12+
+%282%2F3%29%2A12+=+8+
OK