Container K and Container L were filled completely with chilli powder. The total mass of ¹₄ of the chilli powder in Container L and ¹₁₃ of the chilli powder in Container K was 550 g. If ⁵₁₃ of the chilli powder in Container K was poured out, the total mass of the chilli powder in both containers became 2.6 kg. How much chilli powder was in

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

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

¹₄ L + ¹₁₃ K = 550 --- (1)

Fraction of the chilli powder left in Container K after ⁵₁₃ of it was poured out
= 1 - ⁵₁₃
= ⁸₁₃

1 kg = 1000 g
2.6 kg = 2600 g

1 L + ⁸₁₃ K = 2600
1 L = 2600 - ⁸₁₃ K --- (2)

Make L the same.

(1)_x4
⁴₄ L + ⁴₁₃ K = 2200
1 L + ⁴₁₃ K = 2200
1 L = 2200 - ⁴₁₃ K --- (3)

(3) = (2) 
2200 - ⁴₁₃ K = 2600 - ⁸₁₃ X
⁸₁₃ K - ⁴₁₃ K = 2600 - 2200
⁴₁₃ K = 400
¹₁₃ K = 400 ÷ 4 = 100

¹³₁₃ K = 13 x 100 = 1300

1 K = 1300

Mass of Container K = 1300 g

(b)
From (1)
¹₄ L + 100 = 550
¹₄ L = 550 - 100 = 450

⁴₄ L = 4 x 450 = 1800

1 L = 1800

Mass of Container L = 1800 g

Answer(s): (a) 1300 g; (b) 1800 g