SOLUTION: A coin collector has 31 dimes and nickles with a total face value of $2.40. They are actually worth a lot more. How many of each coin does she ahve?

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Question 1149319: A coin collector has 31 dimes and nickles with a total face value of $2.40. They are actually worth a lot more. How many of each coin does she ahve?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
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A coin collector has 31 dimes and nickles with a total face value of $2.40.
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d%2Bn=31
n=31-d
-
10d%2B5n=240
10d%2B5%2831-d%29=240
10d%2B5%2A31-5d=240
5d%2B5%2A31=240
d%2B31=48
highlight%28d=17%29--------dimes
-
highlight%28n=14%29--------nickels

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They are actually worth a lot more. How many of each coin does she ahve?
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?

The collector actually has 240 cents or $2.40.
Seventeen dimes and fourteen nickels.