A jar contains 80 coins, all of which are quarters and nickels. The total value of the coins is $14.60. How many of each type of coin are in the jar?

So far I have:

Q + N = 80 and .25Q + .05 N = 14.60

I've tried to solve the system of the equations, but have had no luck. I'm not sure if my first equation is even correct...should it be .25Q + .05N = 80 ? Please help me solve this, thanks!