The ratio of the number of biscuits in Container E to the number of biscuits in Container F was 9 : 5. 20% of the biscuits in Container E and 0.8 of those in Container F were peach. After transferring the biscuits between the 2 boxes, the number of matcha biscuits in both boxes are the same. Likewise, the number of peach biscuits in both boxes are the same. If a total of 252 biscuits were moved, how many more biscuits were there in Container E than Container F at first?

Container E		Container F
9 u		5 u
Peach	Matcha	Peach	Matcha
1.8 u	7.2 u	4 u	1 u
+ 1.1 u	- 3.1 u	- 1.1 u	+ 3.1 u
2.9 u	4.1 u	2.9 u	4.1 u

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

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

Number of peach biscuits in Container F
= 0.8 x 5 u
= 4 u

Number of matcha biscuits in Container F
= 5 u - 4 u
= 1 u

Number of peach biscuits in each box in the end
= (1.8 u + 4 u) ÷ 2
= 5.8 u ÷ 2
= 2.9 u

Number of matcha biscuits in each box in the end
= (7.2 u + 1 u) ÷ 2
= 8.2 u ÷ 2
= 4.1 u

Number of biscuits moved
= 1.1 u + 3.1 u
= 4.2 u

4.2 u = 252

1 u = 252 ÷ 4.2 = 60

Number of more biscuits in Container E than Container F at first
= 9 u - 5 u
= 4 u
= 4 x 60
= 240

Answer(s): 240