Hello, RTC1996!

A collection of 50 coins is worth $5.20.

There are twelve more nickels than dimes, and the rest of the coins are quarters.

How many coins of each type are in the collection?

Let: .

There are 50 coins: .

Their value is

12 more nickels than dimes: .

Solve the system: .

Answer: N = 26, D = 14, Q = 10