Let x = number of nickels
Then, 36-x = number of dimes
Value of nickels + Value of dimes = 2.35
0.05x + 0.10(36-x) = 2.35
0.05x + 3.60 - 0.10x = 2.35
-0.05x = -1.25
x = 25
ANSWER: Jessie has 25 nickels and 11 dimes.