SOLUTION: You have 42 coins in your piggy bank. the bank contains only nickels and quarters and the total is $5.50. how many of each coin do you have?

Question 1069375: You have 42 coins in your piggy bank. the bank contains only nickels and quarters and the total is $5.50. how many of each coin do you have?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Let n = number of nickels
and q = number of quarters
n + q = 42 (1)
5n + 25q = 550 (2) ($5.50 expressed as cents)

(1) implies q = 42-n, substitute "42-n" for "q" in (2):
5n + 25(42-n) = 550

From here, I will leave it to you to combine terms and solve for n. Once you have n you can plug into (1) to get q.

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