Container A and Container B were filled completely with bread flour. The total mass of ¹₆ of the bread flour in Container B and ¹₁₃ of the bread flour in Container A was 480 g. If ⁵₁₃ of the bread flour in Container A was poured out, the total mass of the bread flour in both containers became 3.08 kg. How much bread flour was in

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

(a)
Let the mass of the bread flour in Container B be B.
Let the mass of the bread flour in Container A be A.

¹₆ B + ¹₁₃ A = 480 --- (1)

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

1 kg = 1000 g
3.08 kg = 3080 g

1 B + ⁸₁₃ A = 3080
1 B = 3080 - ⁸₁₃ A --- (2)

Make B the same.

(1)_x6
⁶₆ B + ⁶₁₃ A = 2880
1 B + ⁶₁₃ A = 2880
1 B = 2880 - ⁶₁₃ A --- (3)

(3) = (2) 
2880 - ⁶₁₃ A = 3080 - ⁸₁₃ X
⁸₁₃ A - ⁶₁₃ A = 3080 - 2880
²₁₃ A = 200
¹₁₃ A = 200 ÷ 2 = 100

¹³₁₃ A = 13 x 100 = 1300

1 A = 1300

Mass of Container A = 1300 g

(b)
From (1)
¹₆ B + 100 = 480
¹₆ B = 480 - 100 = 380

⁶₆ B = 6 x 380 = 2280

1 B = 2280

Mass of Container B = 2280 g

Answer(s): (a) 1300 g; (b) 2280 g