Container K and Container L were filled completely with chicken powder. The total mass of ¹₃ of the chicken powder in Container L and ¹₇ of the chicken powder in Container K was 430 g. If ²₇ of the chicken powder in Container K was poured out, the total mass of the chicken powder in both containers became 1.53 kg. How much chicken powder was in

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

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

¹₃ L + ¹₇ K = 430 --- (1)

Fraction of the chicken powder left in Container K after ²₇ of it was poured out
= 1 - ²₇
= ⁵₇

1 kg = 1000 g
1.53 kg = 1530 g

1 L + ⁵₇ K = 1530
1 L = 1530 - ⁵₇ K --- (2)

Make L the same.

(1)_x3
³₃ L + ³₇ K = 1290
1 L + ³₇ K = 1290
1 L = 1290 - ³₇ K --- (3)

(3) = (2) 
1290 - ³₇ K = 1530 - ⁵₇ X
⁵₇ K - ³₇ K = 1530 - 1290
²₇ K = 240
¹₇ K = 240 ÷ 2 = 120

⁷₇ K = 7 x 120 = 840

1 K = 840

Mass of Container K = 840 g

(b)
From (1)
¹₃ L + 120 = 430
¹₃ L = 430 - 120 = 310

³₃ L = 3 x 310 = 930

1 L = 930

Mass of Container L = 930 g

Answer(s): (a) 840 g; (b) 930 g