Container X and Container Y were filled completely with chilli powder. The total mass of ¹₅ of the chilli powder in Container Y and ¹₁₁ of the chilli powder in Container X was 540 g. If ³₁₁ of the chilli powder in Container X was poured out, the total mass of the chilli powder in both containers became 3.27 kg. How much chilli powder was in

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

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

¹₅ Y + ¹₁₁ X = 540 --- (1)

Fraction of the chilli powder left in Container X after ³₁₁ of it was poured out
= 1 - ³₁₁
= ⁸₁₁

1 kg = 1000 g
3.27 kg = 3270 g

1 Y + ⁸₁₁ X = 3270
1 Y = 3270 - ⁸₁₁ X --- (2)

Make Y the same.

(1)_x5
⁵₅ Y + ⁵₁₁ X = 2700
1 Y + ⁵₁₁ X = 2700
1 Y = 2700 - ⁵₁₁ X --- (3)

(3) = (2) 
2700 - ⁵₁₁ X = 3270 - ⁸₁₁ X
⁸₁₁ X - ⁵₁₁ X = 3270 - 2700
³₁₁ X = 570
¹₁₁ X = 570 ÷ 3 = 190

¹¹₁₁ X = 11 x 190 = 2090

1 X = 2090

Mass of Container X = 2090 g

(b)
From (1)
¹₅ Y + 190 = 540
¹₅ Y = 540 - 190 = 350

⁵₅ Y = 5 x 350 = 1750

1 Y = 1750

Mass of Container Y = 1750 g

Answer(s): (a) 2090 g; (b) 1750 g