SOLUTION: 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 dis

Algebra.Com
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?
Found 2 solutions by checkley75, stanbon:
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
X/2=6000 IS THE WINNERS PRIZE THUS:
6000+6000*1/4=TOTAL
6000+1500=TOTAL
7500=TOTAL

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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?
-----------
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
----------
Comment These are contradictory conditions. Check your problem statement.
=========
Cheers,
Stan H.

RELATED QUESTIONS

In a writing competition, the first place winner receives ½ of the prize money. The... (answered by HyperBrain)
in a writing competition,the first place winner receives 1/2 of the prize money.the... (answered by bucky)
in a writting competition, the first place winner receives 1/2 of the prize money.the... (answered by CubeyThePenguin)
1.) What will it cost to tile a kitchen floor that is 12 feet wide by 20 feet long if the (answered by oscargut)
In a writing competition the first place wineer received 1/2 of the prize money, the... (answered by Mathtut)
in a writing competition,the first place winner recives 1/2 of the prize money.the second (answered by stanbon)
In a carnival organized by Youth 4B, competition is conducted. One of the competition is... (answered by Boreal)
In an essay contest, a teacher finds that seven students have written excellent essays.... (answered by stanbon)
In an essay contest, a teacher finds that seven students have written excellent essays.... (answered by jim_thompson5910)