SOLUTION: If Savannah has 2 more nickels than quarters and they have a combined value of 250 cents, how many of each coin does she have?

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Question 1025541: If Savannah has 2 more nickels than quarters and they have a combined value of 250 cents, how many of each coin does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels she has
Let +q+ = number of quarters she has
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(1) +n+=+q%2B+2+
(2) +5n+%2B+25q+=+250+
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(2) +n+%2B+5q+=+50+
Substitute (1) into (2)
(2) +q+%2B+2+%2B+5q+=+50+
(2) +6q+=+48+
(2) +q+=+8+
and
(1) +n+=+q%2B+2+
(1) +n+=+8+%2B+2+
(1) +n+=+10+
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She has 10 nickels and 8 quarters
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check:
(2) +5n+%2B+25q+=+250+
(2) +5%2A10+%2B+25%2A8+=+250+
(2) +50+%2B+200+=+250+
(2) +250+=+250+
OK