Center of Mass Problem?

Question

You are holding a shopping basket at the grocery store with two 0.50 kg cartons of cereal at one end of the basket. The basket is 0.79 m long. Where should you place a half gallon of milk (1.8 kg) so that the center of mass (COM) of your groceries is at the center of the basket?

Answer 1

(1)(0.79) + 1.8x = 2.8(0.79)/2
1.8x = (0.79)(1.4 - 1)
x = (0.79)(0.4)/1.8
x ≈ 0.176 m