Container B and Container C were filled completely with chicken powder. The total mass of ¹₃ of the chicken powder in Container C and ¹₁₃ of the chicken powder in Container B was 520 g. If ³₁₃ of the chicken powder in Container B was poured out, the total mass of the chicken powder in both containers became 2.61 kg. How much chicken powder was in

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

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

¹₃ C + ¹₁₃ B = 520 --- (1)

Fraction of the chicken powder left in Container B after ³₁₃ of it was poured out
= 1 - ³₁₃
= ¹⁰₁₃

1 kg = 1000 g
2.61 kg = 2610 g

1 C + ¹⁰₁₃ B = 2610
1 C = 2610 - ¹⁰₁₃ B --- (2)

Make C the same.

(1)_x3
³₃ C + ³₁₃ B = 1560
1 C + ³₁₃ B = 1560
1 C = 1560 - ³₁₃ B --- (3)

(3) = (2) 
1560 - ³₁₃ B = 2610 - ¹⁰₁₃ X
¹⁰₁₃ B - ³₁₃ B = 2610 - 1560
⁷₁₃ B = 1050
¹₁₃ B = 1050 ÷ 7 = 150

¹³₁₃ B = 13 x 150 = 1950

1 B = 1950

Mass of Container B = 1950 g

(b)
From (1)
¹₃ C + 150 = 520
¹₃ C = 520 - 150 = 370

³₃ C = 3 x 370 = 1110

1 C = 1110

Mass of Container C = 1110 g

Answer(s): (a) 1950 g; (b) 1110 g