Question 81239
In a writing competition, the first place winner receives ½ of the prize money. The second runner up receives ¼ of what the winner won. What was the total amount of prize money distributed if the winner receives $6,000? 
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Let "x" be the total amount of prize money.
1st place received (1/2)x = 6000 so total amount = 12000
But you said 2nd place received (1/4)(6000)=1500
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Comment These are contradictory conditions.  Check your problem statement.
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Cheers,
Stan H.