SOLUTION: A collection of coins has a total value of 64 cents. There are two more nickels than dimes and three times as many pennies as dimes. How many of each kind of coin are there?

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Question 1021328: A collection of coins has a total value of 64 cents. There are two more nickels than dimes and three
times as many pennies as dimes. How many of each kind of coin are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A collection of coins has a total value of 64 cents.
There are two more nickels than dimes
and three times as many pennies as dimes.
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How many of each kind of coin are there?
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Equations:
p + 5n + 10d = 64 cents
n = d + 2
p = 3d
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Substitute for "n" and for "p" and solve for "d"::
3d + 5(d+2) + 10d = 64
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18d + 10 = 64
18d = 54
d = 3 (# of dimes)
n = d+2 = 5 (# of nickel)
p = 3d = 9 (# of pennies)
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Cheers,
Stan H.
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