In this question we have a few informations:
11.5% of concentration by mass, which means that in the calculation mass of solute/mass of solution, we had 11.5% of the concentration of this solute in the solution
1.055 kg of solution
105.1g/mol is the molar mass
Now to solve this we will use that formula that I have mentioned in the concentratione explanation:
% = mass of solute/mass of solution
0.115 = mass of solute/1055 grams
mass of solute = 1055*0.115
mass of solute = 121.3 grams of solute
Now we have the molar mass, 105.1g/mol, and also the mass of solute, let's find the number of moles:
105.1g = 1 mol
121.3g = x moles
x = 1.15 moles of this solute