The ratio of the number of cookies in Container F to the number of cookies in Container G was 5 : 3. 40% of the cookies in Container F and 0.8 of those in Container G were cherry. After transferring the cookies between the 2 boxes, the number of mango cookies in both boxes are the same. Likewise, the number of cherry cookies in both boxes are the same. If a total of 210 cookies were moved, how many more cookies were there in Container F than Container G at first?

Container F		Container G
5 u		3 u
Cherry	Mango	Cherry	Mango
2 u	3 u	2.4 u	0.6 u
+ 0.2 u	- 1.2 u	- 0.2 u	+ 1.2 u
2.2 u	1.8 u	2.2 u	1.8 u

Number of cherry cookies in Container F
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of mango cookies in Container F
= 5 u - 2 u
= 3 u

Number of cherry cookies in Container G
= 0.8 x 3 u
= 2.4 u

Number of mango cookies in Container G
= 3 u - 2.4 u
= 0.6 u

Number of cherry cookies in each box in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of mango cookies in each box in the end
= (3 u + 0.6 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of cookies moved
= 0.2 u + 1.2 u
= 1.4 u

1.4 u = 210

1 u = 210 ÷ 1.4 = 150

Number of more cookies in Container F than Container G at first
= 5 u - 3 u
= 2 u
= 2 x 150
= 300

Answer(s): 300