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Question 1127216:  diane has $1.65 in dimes and nickles she has a total of 19 coins how many of each kind does she have 
 Answer by rothauserc(4718)      (Show Source): 
You can  put this solution on YOUR website! let d be the number of dimes and n be the number of nickles, then 
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1)  n + d = 19 
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2)  0.05n +0.10d = 1.65 
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solve equation 1 for n 
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n = 19 -d 
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substitute for n in equation 2 
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0.05(19-d) + 0.10d = 1.65 
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0.95 -0.05d +0.10d = 1.65 
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0.05d = 0.70 
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d = 14 
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n = 19 -14 = 5 
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there are 5 nickles and 14 dimes 
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check answer 
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0.05(5) +0.10(14) = 1.65 
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0.25 +1.40 = 1.65 
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1.65 = 1.65 
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answer checks 
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