SOLUTION: A newspaper carrier has $4.70 in change. He has seven more quarters than dimes but two times as many nickles as quarters. How many coins of each type does he have?

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Question 997028: A newspaper carrier has $4.70 in change. He has seven more quarters than dimes but two times as many nickles as quarters. How many coins of each type does he have?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
n = number of nickels
d = number of dimes
q = number of quarters

5n + 10d + 25q = 470
q = d + 7
n = 2q

Write everything in terms of d.

5(2(d+7)) + 10d + 25(d + 7) = 470
10d + 70 + 10d + 25d + 175 = 470
45d = 225
d = 5

There are 24 nickels, 5 dimes, and 12 quarters.