SOLUTION: In a race, the first price will be $5 greater than the second and the second will be $4 greater than the third. the total prize of money is $52. Find each prize?

Question 633622: In a race, the first price will be $5 greater than the second and the second will be $4 greater than the third. the total prize of money is $52. Find each prize?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a race, the first price will be $5 greater than the second and the second will be $4 greater than the third. the total prize of money is $52. Find each prize?
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f = s + 5
s = t + 4
f + s + t = 52
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Substitute for "f" and for "t" to get:
s+5 + s + s-4 = 52
3s + 1 = 52
3s = 51
s = 17 (2nd prize value)
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f = s + 5 = 22 (value of 1st prize)
t = s -4 = 13 (value of 3rd prize)
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Cheers,
Stan H.
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