SOLUTION: If you have 38 coins consisting of nickels and quarters that amount to $2.30, how many coins of each do you have ?

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Question 1071416: If you have 38 coins consisting of nickels and quarters that amount to $2.30, how many coins of each do you 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
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(1) +n+%2B+q+=+38+
(2) +5n+%2B+25q+=+230+ ( in cents )
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Multiply both sides of (1) by +5+ and
subtract (1) from (2)
(2) +5n+%2B+25q+=+230+
(1) +-5n+-+5q+=+-190+
--------------------------
+20q+=+40+
+q+=+2+
and
(1) +n+%2B+q+=+38+
(1) +n+%2B+2+=+38+
(1) +n+=+36+
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You have 2 quarters and 36 nickels
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check:
(2) +5n+%2B+25q+=+230+
(2) +5%2A36+%2B+25%2A2+=+230+
(2) +180+%2B+50+=+230+
(2) +230+=+230+
OK