SOLUTION: A newspaper carrier has ​$7.20 in change. He has 6 more quarters than dimes but 5 times as many nickels as quarters. How many coins of each type does he​ have

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Question 1026915: A newspaper carrier has ​$7.20 in change. He has 6 more quarters than dimes but 5 times as many nickels 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

q = d + 6
n = 5q

Write everything in terms of d.

5n + 10d + 25q = 720
25q + 10d + 25q = 720
50q + 10d = 720
50d + 300 + 10d = 720
60d = 420
d = 7

The newspaper carrier has 7 dimes, 13 quarters, and 65 nickels.