Container G and Container H were filled completely with chicken powder. The total mass of ¹₄ of the chicken powder in Container H and ¹₁₁ of the chicken powder in Container G was 400 g. If ²₁₁ of the chicken powder in Container G was poured out, the total mass of the chicken powder in both containers became 2.1 kg. How much chicken powder was in

1. Container G in grams?
2. Container H in grams?

(a)
Let the mass of the chicken powder in Container H be H.
Let the mass of the chicken powder in Container G be G.

¹₄ H + ¹₁₁ G = 400 --- (1)

Fraction of the chicken powder left in Container G after ²₁₁ of it was poured out
= 1 - ²₁₁
= ⁹₁₁

1 kg = 1000 g
2.1 kg = 2100 g

1 H + ⁹₁₁ G = 2100
1 H = 2100 - ⁹₁₁ G --- (2)

Make H the same.

(1)_x4
⁴₄ H + ⁴₁₁ G = 1600
1 H + ⁴₁₁ G = 1600
1 H = 1600 - ⁴₁₁ G --- (3)

(3) = (2) 
1600 - ⁴₁₁ G = 2100 - ⁹₁₁ X
⁹₁₁ G - ⁴₁₁ G = 2100 - 1600
⁵₁₁ G = 500
¹₁₁ G = 500 ÷ 5 = 100

¹¹₁₁ G = 11 x 100 = 1100

1 G = 1100

Mass of Container G = 1100 g

(b)
From (1)
¹₄ H + 100 = 400
¹₄ H = 400 - 100 = 300

⁴₄ H = 4 x 300 = 1200

1 H = 1200

Mass of Container H = 1200 g

Answer(s): (a) 1100 g; (b) 1200 g