SOLUTION: The question says: A change purse contains $6.55 in dimes and quarters. If the number of dimes is 5 more than 3 times the number of quarters, how many of each coin are there?

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Question 984738: The question says:
A change purse contains $6.55 in dimes and quarters. If the number of dimes is 5 more than 3 times the number of quarters, how many of each coin are there?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = number of dimes
Let +q+ = number of quarters
(1) +d+=+3q+%2B+5+
(2) +10d+%2B+25q+=+655+ ( in cents )
----------------------------------
(2) +2d+%2B+5q+=+131+
by substitution:
(2) +2%2A%28+3q+%2B+5+%29+%2B+5q+=+131+
(2) +6q+%2B+10+%2B+5q+=+131+
(2) +11q+=+121+
(2) +q+=+11+
and
(1) +d+=+3%2A11+%2B+5+
(1) +d+=+33+%2B+5+
(1) +d+=+38+
----------------
There are 38 dimes and 11 quarters
check:
(2) +10%2A38+%2B+25%2A11+=+655+
(2) +380+%2B+275+=+655+
(2) +655+=+655+
OK