No change of mass was observed when a definite amount of a mixture of KI and NaCl is converted to sulphate salts. What is the percentage composition of the mixture?

You have two equations in two unknowns. Solve the two equations simultaneously.

Let X = mass KI
and Y = mass NaCl
equation 1 is X + Y = 10
(Note: I chose to use 10. You can use ANY number as long as you are consistent.)
mm stands for molar mass in equation 2. Equation 2 is
X(mm K2SO4/2*mm KI) + Y(mm Na2SO4/2*mm NaCl) = 10

Solve for X and Y to find mass of eadch.
Then %KI = (mass KI/10)*100 =
%NaCl = (mass NaCl/10)*100 = ?

I think the answers are approx 68% KI and approx 32% NaCl but those are just close estimates.