SOLUTION: Craig has a total of $2.75 in nickels and quarters. He has twice as many quarters as nickels. How many nickels does he have?

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Question 1055203: Craig has a total of $2.75 in nickels and quarters. He has twice as many quarters as nickels. How many nickels does he have?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Craig has a total of $2.75 in nickels and quarters. He has twice as many quarters as nickels. How many nickels does he have?
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Each set of 2 quarters & 1 nickel = 55 cents.
275/55 = 5 sets

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels he has
Let +q+ = number of quarters he has
------------------------------------
(1) +q+=+2n+
(2) +5n+%2B+25q+=+275+
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(2) +n+%2B+5q+=+55+
Plug (1) into (2)
(2) +n+%2B+5%2A%282n%29+=+55+
(2) +11n+=+55+
(2) +n+=+5+
He has 5 nickels
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check:
(1) +g+=+2%2A5+
(1) +q+=+10+
and
(2) +5%2A5+%2B+25q+=+275+
(2) +25+%2B+25q+=+275+
(2) +25q+=+250+
(2) +q+=+10+
OK