SOLUTION: Ron has 15 coins with a total value of $2.15. The coins are nickels and quarters. How many of each coin does he have?

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Question 1009803: Ron has 15 coins with a total value of $2.15. The coins are nickels and quarters. How many of each coin does he have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +q+ = number of quarters
---------------------------
(1) +n+%2B+q+=+15+
(2) +5n+%2B+25q+=+215+ ( in cents )
-------------------------------
(2) +n+%2B+5q+=+43+
Subtract (1) from (2)
(2) +n+%2B+5q+=+43+
(1) +-n+-+q+=+-15+
-------------------
+4q+=+28+
+q+=+7+
and
(1) +n+%2B+q+=+15+
(1) +n+%2B7+=+15+
(1) +n+=+8+
8 nickels and 7 quarters
check:
(2) +5%2A8+%2B+25%2A7+=+215+
(2) +40+%2B+175+=+215+
(2) +215+=+215+
OK