SOLUTION: Sally has 3 more nickels than quarters. The total value of these coins is $2.85. How many of each coin does sally have?

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Question 1050150: Sally has 3 more nickels than quarters. The total value of these coins is $2.85. How many of each coin does sally have?
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
N


N=Q+3
5N+25Q=285

N-Q=3
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++5%5CN+%2B+25%5CQ+=+285%2C%0D%0A++++1%5CN+%2B+-1%5CQ+=+3+%29%0D%0A++We'll use substitution. After moving 25*Q to the right, we get:
5%2AN+=+285+-+25%2AQ, or N+=+285%2F5+-+25%2AQ%2F5. Substitute that
into another equation:
1%2A%28285%2F5+-+25%2AQ%2F5%29+%2B+-1%5CQ+=+3 and simplify: So, we know that Q=9. Since N+=+285%2F5+-+25%2AQ%2F5, N=12.

Answer: system%28+N=12%2C+Q=9+%29.