SOLUTION: Shannon had three times as many quarters as nickels. She had $2.40 in all. How many quarters did she have? What is the answer?

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Question 875611: Shannon had three times as many quarters as nickels. She had $2.40 in all. How many quarters did she have?
What is the answer?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of nickels she has
Let +q+ = the number of quarters she has
(1) +q+=+3n+
(2) +5n+%2B+25q=+240+ ( in cents )
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Substitute (1) into (2)
(2) +5n+%2B+25%2A%283n%29=+240+
(2) +5n+%2B+75n+=+240+
(2) +80n+=+240+
(2) +n+=+3+
and, since
(1) +q+=+3n+
(1) +q+=+3%2A3+
(1) +q+=+9+
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She has 3 nickels and 9 quarters
check:
(2) +5%2A3+%2B+25%2A9=+240+
(2) +15+%2B+225+=+240+
(2) +240+=+240+
OK