(Chem)Calculate, the mass

First of all, let's see the equation of the reaction between iron(III) oxide and carbon:
2Fe2O3(s) + 3C(s) → 3CO2(g) + 4Fe(s)
From the equation, we can see that to prepare 4 moles of iron metal, 3 moles of carbon is needed.
Therefore, for 100 g of iron, it contains 100/55.8 = 1.792 moles
Hence no. of moles of carbon needed = 1.792 × (3/4) = 1.344 moles
So finally, the mass of carbon needed = 1.344 × 12 = 16.13 g