Container F and Container G were filled completely with chilli powder. The total mass of ¹₈ of the chilli powder in Container G and ¹₁₃ of the chilli powder in Container F was 570 g. If ³₁₃ of the chilli powder in Container F was poured out, the total mass of the chilli powder in both containers became 4.82 kg. How much chilli powder was in

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

(a)
Let the mass of the chilli powder in Container G be G.
Let the mass of the chilli powder in Container F be F.

¹₈ G + ¹₁₃ F = 570 --- (1)

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

1 kg = 1000 g
4.82 kg = 4820 g

1 G + ¹⁰₁₃ F = 4820
1 G = 4820 - ¹⁰₁₃ F --- (2)

Make G the same.

(1)_x8
⁸₈ G + ⁸₁₃ F = 4560
1 G + ⁸₁₃ F = 4560
1 G = 4560 - ⁸₁₃ F --- (3)

(3) = (2) 
4560 - ⁸₁₃ F = 4820 - ¹⁰₁₃ X
¹⁰₁₃ F - ⁸₁₃ F = 4820 - 4560
²₁₃ F = 260
¹₁₃ F = 260 ÷ 2 = 130

¹³₁₃ F = 13 x 130 = 1690

1 F = 1690

Mass of Container F = 1690 g

(b)
From (1)
¹₈ G + 130 = 570
¹₈ G = 570 - 130 = 440

⁸₈ G = 8 x 440 = 3520

1 G = 3520

Mass of Container G = 3520 g

Answer(s): (a) 1690 g; (b) 3520 g