x = pennies
3x = nickels
x-2 = dimes
0.01x + 0.05(3x) + 0.10(x-2) = 1.10
0.01x + 0.15x + 0.10x - 0.20 = 1.10
0.26x-0.20 = 1.10
0.26x = 1.30
x = 1.30 / 0.26 = 5
5 pennies
5-2 = 3 dimes
3*5 = 15 nickels
check: 5 pennies = 0.05, 3 dimes = 0.30, 15 nickels = 0.75
0.75 + 0.30 + 0.05 = 1.10
pennies = 5
nickels = 15
dimes = 3