The ratio of the number of tarts in Container A to the number of tarts in Container B was 5 : 3. 40% of the tarts in Container A and 0.8 of those in Container B were strawberry. After transferring the tarts between the 2 boxes, the number of cherry tarts in both boxes are the same. Likewise, the number of strawberry tarts in both boxes are the same. If a total of 182 tarts were moved, how many more tarts were there in Container A than Container B at first?

Container A		Container B
5 u		3 u
Strawberry	Cherry	Strawberry	Cherry
2 u	3 u	2.4 u	0.6 u
+ 0.2 u	- 1.2 u	- 0.2 u	+ 1.2 u
2.2 u	1.8 u	2.2 u	1.8 u

Number of strawberry tarts in Container A
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of cherry tarts in Container A
= 5 u - 2 u
= 3 u

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

Number of cherry tarts in Container B
= 3 u - 2.4 u
= 0.6 u

Number of strawberry tarts in each box in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of cherry tarts in each box in the end
= (3 u + 0.6 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of tarts moved
= 0.2 u + 1.2 u
= 1.4 u

1.4 u = 182

1 u = 182 ÷ 1.4 = 130

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

Answer(s): 260