SOLUTION: Jenna's pockets were heavy with coins. She had three times as many dimes as quarters, and 2 less nickels than dimes. If she had a total of $6.20, how many of each type of coin did

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Question 1001805: Jenna's pockets were heavy with coins. She had three times as many dimes as quarters, and 2 less nickels than dimes. If she had a total of $6.20, how many of each type of coin did she 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 = 3d
n = d - 2
5n + 10d + 25q = 620

Write everything in terms of d.

5(d - 2) + 10d + 25(3d) = 620
5d - 10 + 10d + 75d = 620
90d = 630
d = 7

There were 5 nickels, 7 dimes, and 21 quarters.