SOLUTION: If Darius has 16 quarters and nickels in his pocket, and they have a combined value of 260 cents, how many of each coin does he have?

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Question 1129647: If Darius has 16 quarters and nickels in his pocket, and they have a combined value of 260 cents, 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 +q+ = number of quarters
Let +n+ = number of nickels
--------------------------------------
(1) +n+%2B+q+=+16+
(2) +5n+%2B+25q+=+260+
---------------------------
(2) +n+%2B+5q+=+52+
Subtract (1) from (2)
+n+%2B+5q+=+52+
+-n+-+q+=+-16+
----------------------
+4q+=+36+
+q+=+9+
and
(1) +n+%2B+9+=+16+
(1) +n+=+7+
----------------------
7 nickels
9 quarters
----------------------
check:
+5n+%2B+25q+=+260+
+5%2A7+%2B+25%2A9+=+260+
+35+%2B+225+=+260+
+260+=+260+
OK