Question 563774: A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box? Show work.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box?
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Equations:
n + d + q = 40 coins
5n +10d +25q = 400 cents
3(5n)+5d+25(q+6) = 550 cents
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Solve the system by any means to get:
# nickels = 12
# dimes = 24
# quarters = 4
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Cheers,
Stan H.
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