A collection of nickels, dimes, and quarters consist of 18 18 coins with a total of $ 2.05 $2.05. if the number of dimes is equal to the number of nickels, find the number of each type of coins.

The first thing we must do for this case is to define variables.

We have then:

x = the number of nickels

y = the number of dimes

z = the number of quarters

We write the system of equations:

0.05x + 0.1y + 0.25z = 2.05

x + y + z = 18

x = y

Solving the system we have:

x = 7

y = 7

z = 4

Answer:

nickels = 7

dimes = 7

quarters = 4