Container A and Container B were filled completely with chicken powder. The total mass of ¹₇ of the chicken powder in Container B and ¹₁₃ of the chicken powder in Container A was 570 g. If ⁴₁₃ of the chicken powder in Container A was poured out, the total mass of the chicken powder in both containers became 4.39 kg. How much chicken powder was in

1. Container A in grams?
2. Container B in grams?

(a)
Let the mass of the chicken powder in Container B be B.
Let the mass of the chicken powder in Container A be A.

¹₇ B + ¹₁₃ A = 570 --- (1)

Fraction of the chicken powder left in Container A after ⁴₁₃ of it was poured out
= 1 - ⁴₁₃
= ⁹₁₃

1 kg = 1000 g
4.39 kg = 4390 g

1 B + ⁹₁₃ A = 4390
1 B = 4390 - ⁹₁₃ A --- (2)

Make B the same.

(1)_x7
⁷₇ B + ⁷₁₃ A = 3990
1 B + ⁷₁₃ A = 3990
1 B = 3990 - ⁷₁₃ A --- (3)

(3) = (2) 
3990 - ⁷₁₃ A = 4390 - ⁹₁₃ X
⁹₁₃ A - ⁷₁₃ A = 4390 - 3990
²₁₃ A = 400
¹₁₃ A = 400 ÷ 2 = 200

¹³₁₃ A = 13 x 200 = 2600

1 A = 2600

Mass of Container A = 2600 g

(b)
From (1)
¹₇ B + 200 = 570
¹₇ B = 570 - 200 = 370

⁷₇ B = 7 x 370 = 2590

1 B = 2590

Mass of Container B = 2590 g

Answer(s): (a) 2600 g; (b) 2590 g