SOLUTION: diane has quarters, dimes, and pennies in her pocket. The value of her money is $1.55. There are 4 more dimes than quarters and the number of pennies equals the sum of the number o
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Question 823030: diane has quarters, dimes, and pennies in her pocket. The value of her money is $1.55. There are 4 more dimes than quarters and the number of pennies equals the sum of the number of quarters and dimes. How many pennies does Diane have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
diane has quarters, dimes, and pennies in her pocket. The value of her money is $1.55. There are 4 more dimes than quarters and the number of pennies equals the sum of the number of quarters and dimes. How many pennies does Diane have?
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Equations:
p + 10d + 25q = 155
d = q+4
p = d + q
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Substitute and solve::
d+q + 10(q+4) + 25q = 155
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q+4+q + 10q+40 + 25q = 155
37q + 44 = 155
37q = 111
q = 3 (# of quarters)
d = q+4 = 7 (# of dimes)
p = d+q = 7+3 = 10 (# of pennies)
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Cheers,
Stan H.
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