SOLUTION: A child's bank contains nickels dimes and quarters. There are three times as many nickels as dimes and there are five more quarters than nickels. The total value of the coins in
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Question 428314: A child's bank contains nickels dimes and quarters. There are three times as many nickels as dimes and there are five more quarters than nickels. The total value of the coins in the bank is $6.25. Find the number of each type of coin.
Can somebody please help me?
Thank you,
Marie Found 2 solutions by stanbon, tony.slattery:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A child's bank contains nickels dimes and quarters.
There are three times as many nickels as dimes
and there are five more quarters than nickels.
The total value of the coins in the bank is $6.25.
Find the number of each type of coin.
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Equation:
n = 3d
q = n+5
5n + 10d + 25q = 625
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Solve for d and n:
d = (1/3)n
q = n+5
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Substitute and solve for "n":
5n + 10(1/3)n + 25(n+5) = 625
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5n + (10/3)n + 25n+125 = 625
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(30+(10/3))n = 500
(90+10)n = 1500
n = 15 (# of nickels)
d = (1/3)n = 5 (# of dimes)
q = n+5 = 20 (# of quarters)
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Cheers,
Stan H.
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