The ratio of the number of cookies in Container F to the number of cookies in Container G was 9 : 5. 20% of the cookies in Container F and 0.8 of those in Container G were matcha. After transferring the cookies between the 2 boxes, the number of strawberry cookies in both boxes are the same. Likewise, the number of matcha cookies in both boxes are the same. If a total of 294 cookies were moved, how many more cookies were there in Container F than Container G at first?

Container F		Container G
9 u		5 u
Matcha	Strawberry	Matcha	Strawberry
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 matcha cookies in Container F
= 20% x 9 u
= ²⁰₁₀₀ x 9 u
= 1.8 u

Number of strawberry cookies in Container F
= 9 u - 1.8 u
= 7.2 u

Number of matcha cookies in Container G
= 0.8 x 5 u
= 4 u

Number of strawberry cookies in Container G
= 5 u - 4 u
= 1 u

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

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

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

4.2 u = 294

1 u = 294 ÷ 4.2 = 70

Number of more cookies in Container F than Container G at first
= 9 u - 5 u
= 4 u
= 4 x 70
= 280

Answer(s): 280