SOLUTION: A coin collection consisting of nickels, quarters, and half dollars is worth $10.00 There are 6 times as many nickels as quarters and 1 less half dollars than quarters. Find the nu

Question 147623: A coin collection consisting of nickels, quarters, and half dollars is worth $10.00 There are 6 times as many nickels as quarters and 1 less half dollars than quarters. Find the number of nickels, quarters, and half dollars.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A coin collection consisting of nickels, quarters, and half dollars is worth $10.00 There are 6 times as many nickels as quarters and 1 less half dollars than quarters. Find the number of nickels, quarters, and half dollars.
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5n + 25q + 50h = 1000
n - 6q + 0 = 0
0 + q - h = 1
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Solve the system by any method to get:
n = 60 (# of nickels)
q = 10 (# of quarters)
h = 9 (# of half-dollars)
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Cheers,
Stan H.
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