Container A and Container B were filled completely with curry powder. The total mass of ¹₄ of the curry powder in Container B and ¹₁₃ of the curry powder in Container A was 490 g. If ³₁₃ of the curry powder in Container A was poured out, the total mass of the curry powder in both containers became 2.86 kg. How much curry powder was in

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

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

¹₄ B + ¹₁₃ A = 490 --- (1)

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

1 kg = 1000 g
2.86 kg = 2860 g

1 B + ¹⁰₁₃ A = 2860
1 B = 2860 - ¹⁰₁₃ A --- (2)

Make B the same.

(1)_x4
⁴₄ B + ⁴₁₃ A = 1960
1 B + ⁴₁₃ A = 1960
1 B = 1960 - ⁴₁₃ A --- (3)

(3) = (2) 
1960 - ⁴₁₃ A = 2860 - ¹⁰₁₃ X
¹⁰₁₃ A - ⁴₁₃ A = 2860 - 1960
⁶₁₃ A = 900
¹₁₃ A = 900 ÷ 6 = 150

¹³₁₃ A = 13 x 150 = 1950

1 A = 1950

Mass of Container A = 1950 g

(b)
From (1)
¹₄ B + 150 = 490
¹₄ B = 490 - 150 = 340

⁴₄ B = 4 x 340 = 1360

1 B = 1360

Mass of Container B = 1360 g

Answer(s): (a) 1950 g; (b) 1360 g