Answer :
Fe(coeffecient 2)O(coeffecient 3) +3C=3CO+2Fe is the balanced equation
Iron(III) oxide = Fe₂O₃
Carbon = C
Carbon monoxide = CO
Iron = Fe
Fe₂O₃ + C ⇒ CO + Fe
These are the correct formulas, but the equation is not balanced. There are two Fe's on the left side, so we have to put a 2 in front of the Fe on the right. Also, there are 3 O's on the left but only 1 on the right, so we need to put a 3 in front of the CO; however, this 3 makes it 3 C's on the right, so we balance that off by putting a 3 in front of the C on the left:
Fe₂O₃ + 3C ⇒ 3CO + 2Fe
Carbon = C
Carbon monoxide = CO
Iron = Fe
Fe₂O₃ + C ⇒ CO + Fe
These are the correct formulas, but the equation is not balanced. There are two Fe's on the left side, so we have to put a 2 in front of the Fe on the right. Also, there are 3 O's on the left but only 1 on the right, so we need to put a 3 in front of the CO; however, this 3 makes it 3 C's on the right, so we balance that off by putting a 3 in front of the C on the left:
Fe₂O₃ + 3C ⇒ 3CO + 2Fe