SOLUTION: yolanada has some coins in nickels and dimes. She has six times as many nickels as dimes. If she had 6 more coins of each, she would have $3.30. How many of each coin does she ha

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Question 906156: yolanada has some coins in nickels and dimes. She has six times as many nickels as dimes. If she had 6 more coins of each, she would have $3.30. How many of each coin does she have now
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
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(1) +n+=+6d+
(2) +5%2A%28+n+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+ ( in cents )
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Substitute (1) into (2)
(2) +5%2A%28+6d+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+
(2) +30d+%2B+30+%2B+10d+%2B+60+=+330+
(2) +40d+=+330+-+90+
(2) +40d+=+240+
(2) +d+=+6+
and
(1) +n+=+6d+
(1) +n+=+6%2A6+
(1) +n+=+36+
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She has 36 nickels and 6 dimes
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check:
(2) +5%2A%28+n+%2B+6+%29+%2B+10%2A%28+d+%2B+6+%29+=+330+
(2) +5%2A%28+36+%2B+6+%29+%2B+10%2A%28+6+%2B+6+%29+=+330+
(2) +5%2A42+%2B+10%2A12+=+330+
(2) +210+%2B+120+=+330+
(2) +330+=+330+
OK