Container G and Container H were filled completely with curry powder. The total mass of ¹₇ of the curry powder in Container H and ¹₁₃ of the curry powder in Container G was 520 g. If ³₁₃ of the curry powder in Container G was poured out, the total mass of the curry powder in both containers became 4.03 kg. How much curry powder was in

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

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

¹₇ H + ¹₁₃ G = 520 --- (1)

Fraction of the curry powder left in Container G after ³₁₃ of it was poured out
= 1 - ³₁₃
= ¹⁰₁₃

1 kg = 1000 g
4.03 kg = 4030 g

1 H + ¹⁰₁₃ G = 4030
1 H = 4030 - ¹⁰₁₃ G --- (2)

Make H the same.

(1)_x7
⁷₇ H + ⁷₁₃ G = 3640
1 H + ⁷₁₃ G = 3640
1 H = 3640 - ⁷₁₃ G --- (3)

(3) = (2) 
3640 - ⁷₁₃ G = 4030 - ¹⁰₁₃ X
¹⁰₁₃ G - ⁷₁₃ G = 4030 - 3640
³₁₃ G = 390
¹₁₃ G = 390 ÷ 3 = 130

¹³₁₃ G = 13 x 130 = 1690

1 G = 1690

Mass of Container G = 1690 g

(b)
From (1)
¹₇ H + 130 = 520
¹₇ H = 520 - 130 = 390

⁷₇ H = 7 x 390 = 2730

1 H = 2730

Mass of Container H = 2730 g

Answer(s): (a) 1690 g; (b) 2730 g