SOLUTION: Ben has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total value of the coins is $416, how many of each type of coin d
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Question 985550: Ben has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total value of the coins is $416, how many of each type of coin did he have? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Ben has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total value of the coins is $416, how many of each type of coin did he have?
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Quantity Equation:: p = 3n
Value Equation: p + 5n = 41600 cents
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Substitute for "p" and solve for "n"::
3n + 5n = 416000
8n = 416000
n = 52000 (# of nickels)
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Solve for "p"::
p = 3n
p = 3*52000 = 156000 (# of pennies)
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Cheers,
Stan H.
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