SOLUTION: Randy has a jar containing 63 coins, which are either quarters or nickels. The total value of the jar is $6.75. How many of each type of coin does he have?

Question 211435: Randy has a jar containing 63 coins, which are either quarters or nickels. The total value of the jar is $6.75. How many of each type of coin does he have?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Randy has a jar containing 63 coins, which are either quarters or nickels. The total value of the jar is $6.75. How many of each type of coin does he have?
.
Let q = number of quarters
then
63-q = number of nickels
.
.25q + .05(63-q) = 6.75
.25q + 3.15 - .05q = 6.75
.20q + 3.15 = 6.75
.20q = 3.60
q = 3.60/.20
q = 18 (number of quarters)
.
Number of nickels:
63-q = 63-18 = 45
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