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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!






substitute.




-------Alvin has three nickels.
Answer by ikleyn(52812)   (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=  = 3.

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


RELATED QUESTIONS

Derek has 60 coins consisting of nickels and quarters. If the total value of the coins is (answered by nyc_function)
Angelo has 18 coins consisting of nickels and quarters. If the total value of the coins... (answered by richwmiller)
Felix has 40 coins consisting of dimes and nickels. If the value of his coins is $3.80,... (answered by josmiceli)
A woman has 20 coins consisting of nickels and quarters. The total value is $3.80. How... (answered by mananth)
Jane has 35 coins consisting of nickels and quaters. If the total value of the coins is... (answered by ptaylor)
Irving has 35 coins, consisting of only dimes and nickels. If the value of his coins is... (answered by mananth)
A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90.... (answered by stanbon)
frank has 20 coins of nickels and quarters. The value of coins is $3.40. How many of each (answered by checkley79)
Travis has a total of 20 coins consisting of nickels and quarters. The total value of the (answered by stanbon)