The ratio of the number of tarts in Container V to the number of tarts in Container W was 5 : 3. 10% of the tarts in Container V and 0.6 of those in Container W were vanilla. After transferring the tarts between the 2 boxes, the number of butter cream tarts in both boxes are the same. Likewise, the number of vanilla tarts in both boxes are the same. If a total of 230 tarts were moved, how many more tarts were there in Container V than Container W at first?

Container V		Container W
5 u		3 u
Vanilla	Butter Cream	Vanilla	Butter Cream
0.5 u	4.5 u	1.8 u	1.2 u
+ 0.65 u	- 1.65 u	- 0.65 u	+ 1.65 u
1.15 u	2.85 u	1.15 u	2.85 u

Number of vanilla tarts in Container V
= 10% x 5 u
= ¹⁰₁₀₀ x 5 u
= 0.5 u

Number of butter cream tarts in Container V
= 5 u - 0.5 u
= 4.5 u

Number of vanilla tarts in Container W
= 0.6 x 3 u
= 1.8 u

Number of butter cream tarts in Container W
= 3 u - 1.8 u
= 1.2 u

Number of vanilla tarts in each box in the end
= (0.5 u + 1.8 u) ÷ 2
= 2.3 u ÷ 2
= 1.15 u

Number of butter cream tarts in each box in the end
= (4.5 u + 1.2 u) ÷ 2
= 5.7 u ÷ 2
= 2.85 u

Number of tarts moved
= 0.65 u + 1.65 u
= 2.3 u

2.3 u = 230

1 u = 230 ÷ 2.3 = 100

Number of more tarts in Container V than Container W at first
= 5 u - 3 u
= 2 u
= 2 x 100
= 200

Answer(s): 200