SOLUTION: 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

Question 233287: 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?
Thanks
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
35000*2=$70,000
Answer by MathTherapy(10555) (Show Source): You can 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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