The ratio of the number of cookies in Container F to the number of cookies in Container G was 7 : 5. 40% of the cookies in Container F and 0.8 of those in Container G were mango. After transferring the cookies between the 2 containers, the number of vanilla cookies in both containers are the same. Likewise, the number of mango cookies in both containers are the same. If a total of 297 cookies were moved, how many more cookies were there in Container F than Container G at first?

Container F		Container G
7 u		5 u
Mango	Vanilla	Mango	Vanilla
2.8 u	4.2 u	4 u	1 u
+ 0.6 u	- 1.6 u	- 0.6 u	+ 1.6 u
3.4 u	2.6 u	3.4 u	2.6 u

Number of mango cookies in Container F
= 40% x 7 u
= ⁴⁰₁₀₀ x 7 u
= 2.8 u

Number of vanilla cookies in Container F
= 7 u - 2.8 u
= 4.2 u

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

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

Number of mango cookies in each container in the end
= (2.8 u + 4 u) ÷ 2
= 6.8 u ÷ 2
= 3.4 u

Number of vanilla cookies in each container in the end
= (4.2 u + 1 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u

Number of cookies moved
= 0.6 u + 1.6 u
= 2.2 u

2.2 u = 297

1 u = 297 ÷ 2.2 = 135

Number of more cookies in Container F than Container G at first
= 7 u - 5 u
= 2 u
= 2 x 135
= 270

Answer(s): 270