Question 262199
Let n = the number of nickels
    d = the number of dimes

Eqn 1: n + d = 16
Eqn 2: 0.05*n + 0.10*d = 1.05

Step 1: Isolate for d in Eqn. 1:

d = 16-n

Step 2: Substitute this value of d into Eqn 2:

0.05*n + 0.10*(16-n) = 1.05
0.05n + 1.6 - 0.10n = 1.05

-0.05n = -0.55

Divide both sides by -0.05:
n = -0.55/-0.05
n = 11

There are 11 nickels and 5 dimes.