Container W and Container X were filled completely with chilli powder. The total mass of ¹₅ of the chilli powder in Container X and ¹₁₁ of the chilli powder in Container W was 570 g. If ⁴₁₁ of the chilli powder in Container W was poured out, the total mass of the chilli powder in both containers became 3.13 kg. How much chilli powder was in

1. Container W in grams?
2. Container X in grams?

(a)
Let the mass of the chilli powder in Container X be X.
Let the mass of the chilli powder in Container W be W.

¹₅ X + ¹₁₁ W = 570 --- (1)

Fraction of the chilli powder left in Container W after ⁴₁₁ of it was poured out
= 1 - ⁴₁₁
= ⁷₁₁

1 kg = 1000 g
3.13 kg = 3130 g

1 X + ⁷₁₁ W = 3130
1 X = 3130 - ⁷₁₁ W --- (2)

Make X the same.

(1)_x5
⁵₅ X + ⁵₁₁ W = 2850
1 X + ⁵₁₁ W = 2850
1 X = 2850 - ⁵₁₁ W --- (3)

(3) = (2) 
2850 - ⁵₁₁ W = 3130 - ⁷₁₁ X
⁷₁₁ W - ⁵₁₁ W = 3130 - 2850
²₁₁ W = 280
¹₁₁ W = 280 ÷ 2 = 140

¹¹₁₁ W = 11 x 140 = 1540

1 W = 1540

Mass of Container W = 1540 g

(b)
From (1)
¹₅ X + 140 = 570
¹₅ X = 570 - 140 = 430

⁵₅ X = 5 x 430 = 2150

1 X = 2150

Mass of Container X = 2150 g

Answer(s): (a) 1540 g; (b) 2150 g