x*(15/11) + y*(16/11) + z*(17/11) = 11. Multiplying by 11:

15x + 16y + 17z = 121.

From here we have to use trial and error or educated guessing. Personally I divided 121 by 15 to get 8 plus a remainder of 1. It was then obvious that x=7, y=1, and z=0 would solve the equation.

Michael Shackleford, ASA