The ratio of the number of cookies in Container J to the number of cookies in Container K was 7 : 5. 30% of the cookies in Container J and 0.6 of those in Container K were matcha. After transferring the cookies between the 2 boxes, the number of mocha cookies in both boxes are the same. Likewise, the number of matcha cookies in both boxes are the same. If a total of 190 cookies were moved, how many more cookies were there in Container J than Container K at first?

Container J		Container K
7 u		5 u
Matcha	Mocha	Matcha	Mocha
2.1 u	4.9 u	3 u	2 u
+ 0.45 u	- 1.45 u	- 0.45 u	+ 1.45 u
2.55 u	3.45 u	2.55 u	3.45 u

Number of matcha cookies in Container J
= 30% x 7 u
= ³⁰₁₀₀ x 7 u
= 2.1 u

Number of mocha cookies in Container J
= 7 u - 2.1 u
= 4.9 u

Number of matcha cookies in Container K
= 0.6 x 5 u
= 3 u

Number of mocha cookies in Container K
= 5 u - 3 u
= 2 u

Number of matcha cookies in each box in the end
= (2.1 u + 3 u) ÷ 2
= 5.1 u ÷ 2
= 2.55 u

Number of mocha cookies in each box in the end
= (4.9 u + 2 u) ÷ 2
= 6.9 u ÷ 2
= 3.45 u

Number of cookies moved
= 0.45 u + 1.45 u
= 1.9 u

1.9 u = 190

1 u = 190 ÷ 1.9 = 100

Number of more cookies in Container J than Container K at first
= 7 u - 5 u
= 2 u
= 2 x 100
= 200

Answer(s): 200