SOLUTION: Danielle has a total of 360 pennies, nickels, and dimes. She has a total of $13.50. She has four times as many pennies as dimes and one-third as many dimes as nickels. How many of

Question 507160: Danielle has a total of 360 pennies, nickels, and dimes. She has a total of $13.50. She has four times as many pennies as dimes and one-third as many dimes as nickels. How many of each coin does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Danielle has a total of 360 pennies, nickels, and dimes. She has a total of $13.50. She has four times as many pennies as dimes and one-third as many dimes as nickels. How many of each coin does she have?
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Equations:
p + n + d = 360 coins
p+4n+10d = 1350 cents
p = 4d
d = (1/3)n
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Substitute for p and for n and solve for "d":
4d + 3d + d = 360
8d = 360
d = 45 (# of dimes)
p = 4d = 180 (# of pennies)
n = 3d = 135 (# of nickels)
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Cheers,
Stan H.
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