Container E and Container F were filled completely with curry powder. The total mass of ¹₄ of the curry powder in Container F and ¹₁₃ of the curry powder in Container E was 530 g. If ⁵₁₃ of the curry powder in Container E was poured out, the total mass of the curry powder in both containers became 2.68 kg. How much curry powder was in

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

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

¹₄ F + ¹₁₃ E = 530 --- (1)

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

1 kg = 1000 g
2.68 kg = 2680 g

1 F + ⁸₁₃ E = 2680
1 F = 2680 - ⁸₁₃ E --- (2)

Make F the same.

(1)_x4
⁴₄ F + ⁴₁₃ E = 2120
1 F + ⁴₁₃ E = 2120
1 F = 2120 - ⁴₁₃ E --- (3)

(3) = (2) 
2120 - ⁴₁₃ E = 2680 - ⁸₁₃ X
⁸₁₃ E - ⁴₁₃ E = 2680 - 2120
⁴₁₃ E = 560
¹₁₃ E = 560 ÷ 4 = 140

¹³₁₃ E = 13 x 140 = 1820

1 E = 1820

Mass of Container E = 1820 g

(b)
From (1)
¹₄ F + 140 = 530
¹₄ F = 530 - 140 = 390

⁴₄ F = 4 x 390 = 1560

1 F = 1560

Mass of Container F = 1560 g

Answer(s): (a) 1820 g; (b) 1560 g