A collection of nickels, dimes, and quarters consist of 26 coins with a total of $ 3.00 . If the number of dimes is equal to the number of nickels, find the number of each type of coins.

Answer 1

Let x = # of nickels, y = # of dimes, & z = # of quarters

Then x + y + z = 26

and 5x + 10y+ 25z = 300 if x = y (given)

2x + z = 26

15x + 25z = 300

Solving the 2 equations together, you find that x = 10, y = 10, z = (26 - 2x) = 6