SOLUTION: a newspaper carrier has $2.60 in change. He has four more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have

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Question 989548: a newspaper carrier has $2.60 in change. He has four more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have
Answer by CubeyThePenguin(3113)   (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 = 260
q = d + 4
n = 3q

Write everything in terms of d.

5(3(d + 4)) + 10d + 25(d + 4) = 260
15d + 60 + 10d + 25d + 100 = 260
50d + 160 = 260
d = 2

The news carrier has 18 nickels, 2 dimes, and 6 quarters.

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