SOLUTION: A bag contains nickels and quarters. There are 6 more nickels than quarters. The total value of the coins is $4.50. How mamy of each coin are there?

Question 392428: A bag contains nickels and quarters. There are 6 more nickels than quarters. The total value of the coins is $4.50. How mamy of each coin are there?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A bag contains nickels and quarters. There are 6 more nickels than quarters. The total value of the coins is $4.50. How many of each coin are there?
.
Let q = number of quarters
then
q+6 = number of nickels
.
.25q + .05(q+6) = 4.50
.25q + .05q+.30 = 4.50
.30q + .30 = 4.50
.30q = 4.20
q = 14 (number of quarters)
.
number of nickels:
q+6 = 14+6 = 20
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