Archie had three bags of ground pepper, V, W and X and the mass of each bag of ground pepper was in the ratio 4 : 1 : 1. Archie decided to transfer 40% of ground pepper from Bag V into Bag W and 70% of ground pepper from Bag X into Bag W. Given that the mass of Bag W was 26.4 kg in the end, how many kilograms of ground pepper were transferred into Bag W?

	V	W	X
Before	4 u	1 u	1 u
Change 1	- 1.6 u	+ 1.6 u
Change 2		+ 0.7 u	- 0.7 u
After	2.4 u	3.3 u	0.3 u

Mass of ground pepper transferred from Bag V into Bag W
= 40% x 4 u
= ⁴⁰₁₀₀ x 4 u
= 2.4 u

Mass of ground pepper transferred from Bag X into Bag W
= 70% x 1 u
= ⁷⁰₁₀₀ x 1 u
= 0.7 u

Mass of ground pepper in Bag W in the end
= 1 u + 1.6 u + 0.7 u
= 3.3 u

3.3 u = 26.4 

1 u = 26.4 ÷ 3.3 = 8

Mass of ground pepper transferred into Bag W
= 1.6 u + 0.7 u
= 2.3 u
= 2.3 x 8
= 18.4 kg

Answer(s): 18.4 kg