Container A and Container B were filled completely with chilli powder. The total mass of ¹₆ of the chilli powder in Container B and ¹₁₃ of the chilli powder in Container A was 560 g. If ⁵₁₃ of the chilli powder in Container A was poured out, the total mass of the chilli powder in both containers became 3.72 kg. How much chilli powder was in

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

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

¹₆ B + ¹₁₃ A = 560 --- (1)

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

1 kg = 1000 g
3.72 kg = 3720 g

1 B + ⁸₁₃ A = 3720
1 B = 3720 - ⁸₁₃ A --- (2)

Make B the same.

(1)_x6
⁶₆ B + ⁶₁₃ A = 3360
1 B + ⁶₁₃ A = 3360
1 B = 3360 - ⁶₁₃ A --- (3)

(3) = (2) 
3360 - ⁶₁₃ A = 3720 - ⁸₁₃ X
⁸₁₃ A - ⁶₁₃ A = 3720 - 3360
²₁₃ A = 360
¹₁₃ A = 360 ÷ 2 = 180

¹³₁₃ A = 13 x 180 = 2340

1 A = 2340

Mass of Container A = 2340 g

(b)
From (1)
¹₆ B + 180 = 560
¹₆ B = 560 - 180 = 380

⁶₆ B = 6 x 380 = 2280

1 B = 2280

Mass of Container B = 2280 g

Answer(s): (a) 2340 g; (b) 2280 g