The ratio of the number of tarts in Container Q to the number of tarts in Container R was 9 : 5. 40% of the tarts in Container Q and 0.8 of those in Container R were strawberry. After transferring the tarts between the 2 containers, the number of matcha tarts in both containers are the same. Likewise, the number of strawberry tarts in both containers are the same. If a total of 300 tarts were moved, how many more tarts were there in Container Q than Container R at first?

Container Q		Container R
9 u		5 u
Strawberry	Matcha	Strawberry	Matcha
3.6 u	5.4 u	4 u	1 u
+ 0.2 u	- 2.2 u	- 0.2 u	+ 2.2 u
3.8 u	3.2 u	3.8 u	3.2 u

Number of strawberry tarts in Container Q
= 40% x 9 u
= ⁴⁰₁₀₀ x 9 u
= 3.6 u

Number of matcha tarts in Container Q
= 9 u - 3.6 u
= 5.4 u

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

Number of matcha tarts in Container R
= 5 u - 4 u
= 1 u

Number of strawberry tarts in each container in the end
= (3.6 u + 4 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u

Number of matcha tarts in each container in the end
= (5.4 u + 1 u) ÷ 2
= 6.4 u ÷ 2
= 3.2 u

Number of tarts moved
= 0.2 u + 2.2 u
= 2.4 u

2.4 u = 300

1 u = 300 ÷ 2.4 = 125

Number of more tarts in Container Q than Container R at first
= 9 u - 5 u
= 4 u
= 4 x 125
= 500

Answer(s): 500