Container J and Container K were filled completely with chilli powder. The total mass of ¹₃ of the chilli powder in Container K and ¹₁₁ of the chilli powder in Container J was 620 g. If ⁴₁₁ of the chilli powder in Container J was poured out, the total mass of the chilli powder in both containers became 2.66 kg. How much chilli powder was in

1. Container J in grams?
2. Container K in grams?

(a)
Let the mass of the chilli powder in Container K be K.
Let the mass of the chilli powder in Container J be J.

¹₃ K + ¹₁₁ J = 620 --- (1)

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

1 kg = 1000 g
2.66 kg = 2660 g

1 K + ⁷₁₁ J = 2660
1 K = 2660 - ⁷₁₁ J --- (2)

Make K the same.

(1)_x3
³₃ K + ³₁₁ J = 1860
1 K + ³₁₁ J = 1860
1 K = 1860 - ³₁₁ J --- (3)

(3) = (2) 
1860 - ³₁₁ J = 2660 - ⁷₁₁ X
⁷₁₁ J - ³₁₁ J = 2660 - 1860
⁴₁₁ J = 800
¹₁₁ J = 800 ÷ 4 = 200

¹¹₁₁ J = 11 x 200 = 2200

1 J = 2200

Mass of Container J = 2200 g

(b)
From (1)
¹₃ K + 200 = 620
¹₃ K = 620 - 200 = 420

³₃ K = 3 x 420 = 1260

1 K = 1260

Mass of Container K = 1260 g

Answer(s): (a) 2200 g; (b) 1260 g