SOLUTION: A change purse contains 20 coins consisting of nickels and dimes and having a total value of $1.40. How many nickels are there?

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Question 335081: A change purse contains 20 coins consisting of nickels and dimes and having a total value of $1.40. How many nickels are there?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let N be the number of nickels, D the number of dimes.
1.N%2BD=20
2.5N%2B10D=140
From eq. 1,
D=20-N
Substitute into eq. 2,
5N%2B10%2820-N%29=140
5N%2B200-10N=140
-5N%2B200=140
-5N=-60
highlight%28N=12%29
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There are 12 nickels in the purse.