SOLUTION: Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?

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Question 1006167: Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how many of each coin does she have?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call their numbers n and q.
We know that n = q - 13.
The value equation is
5n + 25q = 535 (we work in cents)
Now substitute for n and get
5(q - 13) + 25q = 535
5q - 65 + 25q = 535
30q = 600
q = 20 so that
n = 7