SOLUTION: In a race, the total prize-money is shared among the first three placegetters in the ratio 5:3:2. Third prize is $300. What is the total prize-money?

Question 560196: In a race, the total prize-money is shared among the first three placegetters in the ratio 5:3:2. Third prize is $300. What is the total prize-money?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a race, the total prize-money is shared among the first three placegetters in the ratio 5:3:2. Third prize is $300. What is the total prize-money?
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1st prize: 5x
2nd prize: 3x
3rd prize: 2x
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Equation:
5x + 3x + 2x = 500
10x = 500
x = 50
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1st prize: 5x = $250
2nd prize: 3x = $150
3rd prize: 2x = $100
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Cheers,
Stan H.
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