Two blocks connected by a cord passing over a small, frictionless pulley rest on frictionless planes (the figure ).

a-which way will the system move?

b-what is the acceleration of the blocks?

c-what is the tension in the cord?

Let suppose that the system will move to the left 
so, to happen this50kg body along the slope :
T - m1gsin53 = m1a
100kg body along the slope :
m2gsin30 - T = m2a

adding both of the equations
m2gsin30 - m1gsin53 = a(m1+m2)
g(m2sin30-m1sin53) / (m1+m2) = a
a = 0.671
System will go to left as a is positive.
Which also gives you the answer for b.

Ithink the answer would be a