The ratio of the number of cookies in Container K to the number of cookies in Container L was 7 : 5. 20% of the cookies in Container K and 0.6 of those in Container L were chocolate. After transferring the cookies between the 2 boxes, the number of matcha cookies in both boxes are the same. Likewise, the number of chocolate cookies in both boxes are the same. If a total of 182 cookies were moved, how many more cookies were there in Container K than Container L at first?

Container K		Container L
7 u		5 u
Chocolate	Matcha	Chocolate	Matcha
1.4 u	5.6 u	3 u	2 u
+ 0.8 u	- 1.8 u	- 0.8 u	+ 1.8 u
2.2 u	3.8 u	2.2 u	3.8 u

Number of chocolate cookies in Container K
= 20% x 7 u
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of matcha cookies in Container K
= 7 u - 1.4 u
= 5.6 u

Number of chocolate cookies in Container L
= 0.6 x 5 u
= 3 u

Number of matcha cookies in Container L
= 5 u - 3 u
= 2 u

Number of chocolate cookies in each box in the end
= (1.4 u + 3 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of matcha cookies in each box in the end
= (5.6 u + 2 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u

Number of cookies moved
= 0.8 u + 1.8 u
= 2.6 u

2.6 u = 182

1 u = 182 ÷ 2.6 = 70

Number of more cookies in Container K than Container L at first
= 7 u - 5 u
= 2 u
= 2 x 70
= 140

Answer(s): 140