The ratio of the number of cookies in Container G to the number of cookies in Container H was 9 : 5. 30% of the cookies in Container G and 0.7 of those in Container H were mango. After transferring the cookies between the 2 boxes, the number of cherry cookies in both boxes are the same. Likewise, the number of mango cookies in both boxes are the same. If a total of 182 cookies were moved, how many more cookies were there in Container G than Container H at first?

Container G		Container H
9 u		5 u
Mango	Cherry	Mango	Cherry
2.7 u	6.3 u	3.5 u	1.5 u
+ 0.4 u	- 2.4 u	- 0.4 u	+ 2.4 u
3.1 u	3.9 u	3.1 u	3.9 u

Number of mango cookies in Container G
= 30% x 9 u
= ³⁰₁₀₀ x 9 u
= 2.7 u

Number of cherry cookies in Container G
= 9 u - 2.7 u
= 6.3 u

Number of mango cookies in Container H
= 0.7 x 5 u
= 3.5 u

Number of cherry cookies in Container H
= 5 u - 3.5 u
= 1.5 u

Number of mango cookies in each box in the end
= (2.7 u + 3.5 u) ÷ 2
= 6.2 u ÷ 2
= 3.1 u

Number of cherry cookies in each box in the end
= (6.3 u + 1.5 u) ÷ 2
= 7.8 u ÷ 2
= 3.9 u

Number of cookies moved
= 0.4 u + 2.4 u
= 2.8 u

2.8 u = 182

1 u = 182 ÷ 2.8 = 65

Number of more cookies in Container G than Container H at first
= 9 u - 5 u
= 4 u
= 4 x 65
= 260

Answer(s): 260