To answer this question you need to set up a system of equations.
The question tells us what the 2 equations should be:
Nickels + Dimes = 20 coins
Nickels + Dimes = $1.35
Let n = the number of nickels
Let d = the number of dimes
n + d = 20
0.05n + 0.10d = 1.35
Using the elimination method, solve for one of the variables. Then plug the answer into one of the equations, to solve for the second variable.