Japheth had three bags of sesame seeds, N, P and Q and the mass of each bag of sesame seeds was in the ratio 2 : 3 : 1. Japheth decided to transfer 30% of sesame seeds from Bag N into Bag P and 70% of sesame seeds from Bag Q into Bag P. Given that the mass of Bag P was 43 kg in the end, how many kilograms of sesame seeds were transferred into Bag P?

	N	P	Q
Before	2 u	3 u	1 u
Change 1	- 0.6 u	+ 0.6 u
Change 2		+ 0.7 u	- 0.7 u
After	1.4 u	4.3 u	0.3 u

Mass of sesame seeds transferred from Bag N into Bag P
= 30% x 2 u
= ³⁰₁₀₀ x 2 u
= 1.4 u

Mass of sesame seeds transferred from Bag Q into Bag P
= 70% x 1 u
= ⁷⁰₁₀₀ x 1 u
= 0.7 u

Mass of sesame seeds in Bag P in the end
= 3 u + 0.6 u + 0.7 u
= 4.3 u

4.3 u = 43 

1 u = 43 ÷ 4.3 = 10

Mass of sesame seeds transferred into Bag P
= 0.6 u + 0.7 u
= 1.3 u
= 1.3 x 10
= 13 kg

Answer(s): 13 kg