Kendra has $5.70 in quarters and nickels. If she has 12 more quarters than nickels, how many of each

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Kendra has $5.70 in quarters and nickels. If she has 12 more quarters than nickels, how many of each coin does she have?

Let n be the number of nickels and q be the number of quarters. We have:

1. q = n + 12
2. 0.05n + 0.25q = 5.70

Substitute (1) into (2)
0.05n + 0.25(n + 12) = 5.70
0.05n + 0.25n + 3 = 5.70

Combine like terms:
0.3n + 3 = 5.70

Using our equation calculator, we get n = 9.

Substituting that back into (1), we get:
q = 9 + 12
q = 21