The ratio of the number of tarts in Container C to the number of tarts in Container D was 5 : 3. 20% of the tarts in Container C and 0.6 of those in Container D were strawberry. After transferring the tarts between the 2 containers, the number of mango tarts in both containers are the same. Likewise, the number of strawberry tarts in both containers are the same. If a total of 234 tarts were moved, how many more tarts were there in Container C than Container D at first?

Container C		Container D
5 u		3 u
Strawberry	Mango	Strawberry	Mango
1 u	4 u	1.8 u	1.2 u
+ 0.4 u	- 1.4 u	- 0.4 u	+ 1.4 u
1.4 u	2.6 u	1.4 u	2.6 u

Number of strawberry tarts in Container C
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Number of mango tarts in Container C
= 5 u - 1 u
= 4 u

Number of strawberry tarts in Container D
= 0.6 x 3 u
= 1.8 u

Number of mango tarts in Container D
= 3 u - 1.8 u
= 1.2 u

Number of strawberry tarts in each container in the end
= (1 u + 1.8 u) ÷ 2
= 2.8 u ÷ 2
= 1.4 u

Number of mango tarts in each container in the end
= (4 u + 1.2 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u

Number of tarts moved
= 0.4 u + 1.4 u
= 1.8 u

1.8 u = 234

1 u = 234 ÷ 1.8 = 130

Number of more tarts in Container C than Container D at first
= 5 u - 3 u
= 2 u
= 2 x 130
= 260

Answer(s): 260