SOLUTION: If Ricky has 12 dimes and nickels in his pocket, and they have a combined value of 95 cents, how many of each coin does he have?

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Question 1129584: If Ricky has 12 dimes and nickels in his pocket, and they have a combined value of 95 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 +n+ = number of nickels
Let +d+ = number of dimes
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(1) +n+%2B+d+=+12+
(2) +5n+%2B+10d+=+95+
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(2) +n+%2B+2d+=+19+ ( subtract (1) from (2) )
(1) +-n+-+d+=+-12+
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+d+=+7+
and
(1) +n+%2B+7+=+12+
(1) +n+=+5+
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There are 5 nickels and 7 dimes
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check:
(2) +5%2A5+%2B+10%2A7+=+95+
(2) +25+%2B+70+=+95+
(2) +95+=+95+
OK