SOLUTION: a cash register contains 15 coins in nickles and dimes. total value is $1.25. how many coins of each type are there?

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Question 687370: a cash register contains 15 coins in nickles and dimes. total value is $1.25. how many coins of each type are there?
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
given:
(1) +n+%2B+d+=+15+
(2) +5n+%2B+10d+=+125+ ( in cents )
---------------------
(1) +n+=+15+-+d+
and
(2) +5%2A%28+15+-+d+%29+%2B+10d+=+125+
(2) +75+-+5d+%2B+10d+=+125+
(2) +5d+=+125+-+75+
(2) +5d+=+50+
(2) +d+=+10+
and, since
(1) +n+=+15+-+d+
(1) +n+=+15+-+10+
(1) +n+=+5+
There are 10 dimes and 5 nickels
check:
(2) +5n+%2B+10d+=+125+
(2) +5%2A5+%2B+10%2A10+=+125+
(2) +25+%2B+100+=+125+
(20 +125+=+125+
OK