The ratio of the number of tarts in Container L to the number of tarts in Container M was 7 : 5. 40% of the tarts in Container L and 0.8 of those in Container M were strawberry. After transferring the tarts between the 2 boxes, the number of butter cream tarts in both boxes are the same. Likewise, the number of strawberry tarts in both boxes are the same. If a total of 242 tarts were moved, how many more tarts were there in Container L than Container M at first?

Container L		Container M
7 u		5 u
Strawberry	Butter Cream	Strawberry	Butter Cream
2.8 u	4.2 u	4 u	1 u
+ 0.6 u	- 1.6 u	- 0.6 u	+ 1.6 u
3.4 u	2.6 u	3.4 u	2.6 u

Number of strawberry tarts in Container L
= 40% x 7 u
= ⁴⁰₁₀₀ x 7 u
= 2.8 u

Number of butter cream tarts in Container L
= 7 u - 2.8 u
= 4.2 u

Number of strawberry tarts in Container M
= 0.8 x 5 u
= 4 u

Number of butter cream tarts in Container M
= 5 u - 4 u
= 1 u

Number of strawberry tarts in each box in the end
= (2.8 u + 4 u) ÷ 2
= 6.8 u ÷ 2
= 3.4 u

Number of butter cream tarts in each box in the end
= (4.2 u + 1 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u

Number of tarts moved
= 0.6 u + 1.6 u
= 2.2 u

2.2 u = 242

1 u = 242 ÷ 2.2 = 110

Number of more tarts in Container L than Container M at first
= 7 u - 5 u
= 2 u
= 2 x 110
= 220

Answer(s): 220