The ratio of the number of biscuits in Container G to the number of biscuits in Container H was 9 : 5. 20% of the biscuits in Container G and 0.6 of those in Container H were peach. After transferring the biscuits between the 2 containers, the number of matcha biscuits in both containers are the same. Likewise, the number of peach biscuits in both containers are the same. If a total of 256 biscuits were moved, how many more biscuits were there in Container G than Container H at first?

Container G		Container H
9 u		5 u
Peach	Matcha	Peach	Matcha
1.8 u	7.2 u	3 u	2 u
+ 0.6 u	- 2.6 u	- 0.6 u	+ 2.6 u
2.4 u	4.6 u	2.4 u	4.6 u

Number of peach biscuits in Container G
= 20% x 9 u
= ²⁰₁₀₀ x 9 u
= 1.8 u

Number of matcha biscuits in Container G
= 9 u - 1.8 u
= 7.2 u

Number of peach biscuits in Container H
= 0.6 x 5 u
= 3 u

Number of matcha biscuits in Container H
= 5 u - 3 u
= 2 u

Number of peach biscuits in each container in the end
= (1.8 u + 3 u) ÷ 2
= 4.8 u ÷ 2
= 2.4 u

Number of matcha biscuits in each container in the end
= (7.2 u + 2 u) ÷ 2
= 9.2 u ÷ 2
= 4.6 u

Number of biscuits moved
= 0.6 u + 2.6 u
= 3.2 u

3.2 u = 256

1 u = 256 ÷ 3.2 = 80

Number of more biscuits in Container G than Container H at first
= 9 u - 5 u
= 4 u
= 4 x 80
= 320

Answer(s): 320