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?
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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= {{{(-60)/(-20)}}} = 3.

<U>Answer</U>. 3 Nickels and 20-3 = 17 quarters.
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