The ratio of the number of tarts in Container J to the number of tarts in Container K was 7 : 3. 10% of the tarts in Container J and 0.8 of those in Container K were strawberry. After transferring the tarts between the 2 boxes, the number of matcha tarts in both boxes are the same. Likewise, the number of strawberry tarts in both boxes are the same. If a total of 222 tarts were moved, how many more tarts were there in Container J than Container K at first?

Container J		Container K
7 u		3 u
Strawberry	Matcha	Strawberry	Matcha
0.7 u	6.3 u	2.4 u	0.6 u
+ 0.85 u	- 2.85 u	- 0.85 u	+ 2.85 u
1.55 u	3.45 u	1.55 u	3.45 u

Number of strawberry tarts in Container J
= 10% x 7 u
= ¹⁰₁₀₀ x 7 u
= 0.7 u

Number of matcha tarts in Container J
= 7 u - 0.7 u
= 6.3 u

Number of strawberry tarts in Container K
= 0.8 x 3 u
= 2.4 u

Number of matcha tarts in Container K
= 3 u - 2.4 u
= 0.6 u

Number of strawberry tarts in each box in the end
= (0.7 u + 2.4 u) ÷ 2
= 3.1 u ÷ 2
= 1.55 u

Number of matcha tarts in each box in the end
= (6.3 u + 0.6 u) ÷ 2
= 6.9 u ÷ 2
= 3.45 u

Number of tarts moved
= 0.85 u + 2.85 u
= 3.7 u

3.7 u = 222

1 u = 222 ÷ 3.7 = 60

Number of more tarts in Container J than Container K at first
= 7 u - 3 u
= 4 u
= 4 x 60
= 240

Answer(s): 240