SOLUTION: Melinda has nickels and quarters in her bank. she has five fewer nickels than quarters. she has $4.85 in the bank. How many coins of each type does she have?

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Question 624537: Melinda has nickels and quarters in her bank. she has five fewer nickels than quarters. she has $4.85 in the bank. How many coins of each type does she have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +q+ = number of quarters
given:
(1) +n+=+q+-+5+
(2) +5n+%2B+25q+=+485+ ( in cents )
substitute (1) into (2)
(2) +5%2A%28+q+-+5+%29+%2B+25q+=+485+
(2) +5q+-+25+%2B+25q+=+485+
(2) +30q+=+510+
(2) +q+=+17+
and
(1) +n+=+q+-+5+
(1) +n+=+17+-+5+
(1) +n+=+12+
she has 12 nickels and 17 quarters
check answer:
(2) +5n+%2B+25q+=+485+
(2) +5%2A12+%2B+25%2A17+=+485+
(2) +60+%2B+425+=+485+
(2) +485+=+485+
OK