Container E and Container F were filled completely with chilli powder. The total mass of ¹₅ of the chilli powder in Container F and ¹₁₁ of the chilli powder in Container E was 540 g. If ³₁₁ of the chilli powder in Container E was poured out, the total mass of the chilli powder in both containers became 3.12 kg. How much chilli powder was in

1. Container E in grams?
2. Container F in grams?

(a)
Let the mass of the chilli powder in Container F be F.
Let the mass of the chilli powder in Container E be E.

¹₅ F + ¹₁₁ E = 540 --- (1)

Fraction of the chilli powder left in Container E after ³₁₁ of it was poured out
= 1 - ³₁₁
= ⁸₁₁

1 kg = 1000 g
3.12 kg = 3120 g

1 F + ⁸₁₁ E = 3120
1 F = 3120 - ⁸₁₁ E --- (2)

Make F the same.

(1)_x5
⁵₅ F + ⁵₁₁ E = 2700
1 F + ⁵₁₁ E = 2700
1 F = 2700 - ⁵₁₁ E --- (3)

(3) = (2) 
2700 - ⁵₁₁ E = 3120 - ⁸₁₁ X
⁸₁₁ E - ⁵₁₁ E = 3120 - 2700
³₁₁ E = 420
¹₁₁ E = 420 ÷ 3 = 140

¹¹₁₁ E = 11 x 140 = 1540

1 E = 1540

Mass of Container E = 1540 g

(b)
From (1)
¹₅ F + 140 = 540
¹₅ F = 540 - 140 = 400

⁵₅ F = 5 x 400 = 2000

1 F = 2000

Mass of Container F = 2000 g

Answer(s): (a) 1540 g; (b) 2000 g