the underlying chemical equation here is
2 CuSO4 + 4 HI → 2 CuI + 2 H2SO4 + I2
which you can use to determine the mole ratios between different reactants and products in the calculations
we're given that 34.56 grams of HI interacts, so you want to start by converting that over into moles by dividing by the Molar Mass
Moles of HI = 34.56 g / (127.912 g/mol) = 0.2702 mol HI
from there then you can use the molar ratios and molar masses of each product to find the grams produced
0.2702 mol HI x 2 mol CuI/4 mol HI x 190.450 g / mol = 25.73 g CuI
0.2702 mol HI x 2 mol H2SO4 / 4 mol HI x 98.076 g H2SO4 = 13.25 g H2SO4
0.2702 mol HI x 1 mol I2 / 4 mol HI x 253.808 g I2 = 17.14 g I2