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?
2007-03-01 02:10:12 · 11 answers · asked by MisterMeToo 1 in Science & Mathematics ➔ Mathematics
This problem is stated poorly. According to the question the answer should be 6,000 * 2 because the winner got half the prize money and that was equal to $6,000. Since it says there was only one other winner awarded money and he got 1/4 of the winner's money then it's obviously not going to be double the winner's earnings.
All we have to do for this problem is find 1/4 of 6,000 and then add that to 6,000 to get our total amount of money awarded to our winner and runner-up. To find 1/4 of 6,000 you just turn 1/4 into a percentage. 1/4 = 25% Then change the percentage into a decimal. 25% = 0.25 Then multiply 6,000 by 0.25 for how much the runner-up received. Then add the winner and runner-up's prize money to find your answer.
2007-03-01 02:19:05 · answer #1 · answered by Magister 2 · 0⤊ 1⤋
If the winner receives $6000 then the 2nd place person received $1500 for 1/4 of 6000=1500 and the total prize money would equal $12000 because that is 1/2 of the prize money.
2007-03-01 02:17:14 · answer #2 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
If the winner receives $6000, and $6000 is half of the total prize money, then you have the equation:
6000 = (1/2)*total
To get rid of the (1/2) multiply both sides of the equation by 2
2*6000 = (1/2)*2*total
Simplifying, we ahve:
12000 = total
So, there you have it, the total amount of prize money is $12000.
2007-03-01 02:20:13 · answer #3 · answered by starryeyedhaze 3 · 0⤊ 0⤋
.5X=6000 First Place Winnings
X=12000 Total Prize money
Y=.25 *6000 = 1500 What Second Runner up Receives
2007-03-01 02:18:43 · answer #4 · answered by aiguyaiguy 4 · 0⤊ 0⤋
if 1/2th of prize money is $6000,
then total amount is $12000
also as runner-up receives 1/4th of the money
he gets $1500
so, total amount distributed=$1500+$6000
=$7500
2007-03-01 02:28:49 · answer #5 · answered by Arun 2 · 0⤊ 0⤋
The 1/4 doesn't matter. If 6000 is half the pool, the total is $12000.
2007-03-01 02:14:01 · answer #6 · answered by Meg W 5 · 1⤊ 0⤋
$12,000
If the winner receives half, the total is twice the winner's share of $6000, or $12,000. ;)
2007-03-01 02:14:01 · answer #7 · answered by MamaMia © 7 · 1⤊ 0⤋
Twelve thousand dollars. The winner received half, which was $6k, and that's all that's important.
2007-03-01 02:14:49 · answer #8 · answered by Anonymous · 0⤊ 0⤋
10500
2007-03-01 02:15:52 · answer #9 · answered by s l 2 · 0⤊ 1⤋
$12,000
c'mon I did that in my head
2007-03-01 02:13:08 · answer #10 · answered by Anonymous · 2⤊ 1⤋