SOLUTION: Alvin has 20 coins consisting of nickels and quarters. If the value of the coins is $4.40, how many nickels does Alvin have?

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Question 1066459: Alvin has 20 coins consisting of nickels and quarters. If the value of the coins is $4.40, how many nickels does Alvin have?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Bq=20
q=20-n


0.05n%2B0.25q=4.40
n%2B5q=88
substitute.
n%2B5%2820-n%29=88
n%2B100-5n=88
-4n=88-100
4n=12
highlight%28n=3%29-------Alvin has three nickels.

Answer by ikleyn(52812) About Me  (Show Source):
You can put this solution on YOUR website!
.Alvin has 20 coins consisting of nickels and quarters. If the value of the coins is $4.40, how many nickels does Alvin have?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let N be the number of nickels.
Then the number of quarters is (20-N).

Nickels contribute 5N cents to the total.

Quarters contribute 25*(20-N) cents to the total.

THe "value" equation is

5N + 25*(20-N) = 440 cents.

5N + 500 - 25N = 440,

-20N = 440 - 500  --->  -20N = -60  --->  N= %28-60%29%2F%28-20%29 = 3.

Answer. 3 Nickels and 20-3 = 17 quarters.