SOLUTION: Jim has 20 coins in his pocket consists of dimes and nickels. Altogether, the coins add up to 1.35$. How many of each coin does he have?

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Question 1144624: Jim has 20 coins in his pocket consists of dimes and nickels. Altogether, the coins add up to 1.35$. 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 +d+ = number of dimes
Let +n+ = number of nickels
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(1) +n+%2B+d+=+20+
(2) +5n+%2B+10d+=+135+ ( in cents )
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(2) +n+%2B+2d+=+27+
Subtract (1) from (2)
+d+=+7+
and
(1) +n+%2B+7+=+20+
(1) +n+=+13+
There are 7 dimes and 13 nickels
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check:
(2) +13+%2B+2%2A7+=+27+
(2) +27+=+27+
OK