SOLUTION: In Timothy's money box there are 71 coins. Some are 5 cent coins and the rest are 10 cent coins. Their total value is $5.60, find the number of each type

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Question 1106988: In Timothy's money box there are 71 coins. Some are 5 cent coins and the rest are 10 cent coins. Their total value is $5.60, find the number of each type
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of 5 cent coins
Let +d+ = the numbe of 10 cent coins
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(1) +n+%2B+d+=+71+
(2) +5n+%2B+10d+=+560+ ( in cents )
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Multiply both sides of (1) by +5+ and
subtract (1) from (2)
(2) +5n+%2B+10d+=+560+
(1) +-5n+-+5d+=+-355+
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+5d+=+205+
+d+=+41+
and
(1) +n+%2B+41+=+71+
(1) +n+=+30+
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The number of 5 cent coins is 30
The number of 10 cent coins is 41