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Question 471789: a contest winner received one fourth of his winning in cash and received four prizes each worth one fourth of the balance.if the cash and one of the prizes were worth a combined total of $35000,what was the total value of his winning?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! a contest winner received one fourth of his winning in cash and received four prizes each worth one fourth of the balance.if the cash and one of the prizes were worth a combined total of $35000,what was the total value of his winning?
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let x=total value of winnings
x/4=Cash winnings
3x/4=balance
1/4 of balance=3x/4*1/4=3x/16=value of one prize
cash+one prize=x/4+3x/16=35000
LCD:16
4x+3x=560000
7x=560000
x=80000
ans:
total value of his winnings=$80,000
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