The ratio of the number of puffs in Container T to the number of puffs in Container U was 5 : 3. 40% of the puffs in Container T and 0.8 of those in Container U were butter cream. After transferring the puffs between the 2 boxes, the number of strawberry puffs in both boxes are the same. Likewise, the number of butter cream puffs in both boxes are the same. If a total of 287 puffs were moved, how many more puffs were there in Container T than Container U at first?

Container T		Container U
5 u		3 u
Butter Cream	Strawberry	Butter Cream	Strawberry
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 butter cream puffs in Container T
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of strawberry puffs in Container T
= 5 u - 2 u
= 3 u

Number of butter cream puffs in Container U
= 0.8 x 3 u
= 2.4 u

Number of strawberry puffs in Container U
= 3 u - 2.4 u
= 0.6 u

Number of butter cream puffs in each box in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

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

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

1.4 u = 287

1 u = 287 ÷ 1.4 = 205

Number of more puffs in Container T than Container U at first
= 5 u - 3 u
= 2 u
= 2 x 205
= 410

Answer(s): 410