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put this solution on YOUR website!A contest winner received one fourth of his winnings in cash, and received four prizes, each worth on fourth of the balance. If the cash and one of the prizes were worth a combined total of 35,000, what was the total value of his winnings?
Let winnings be W
Since he received
of his winnings in cash, then he receives
in cash. This leaves a remainder of
or
Now, since the cash he received, plus
of the remainder = 35,000
Then we'll have or
, or,
-----> Multiply by LCD, 16
W =
= $80,000
Therefore, W, or his winnings = $
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