The ratio of the number of puffs in Container U to the number of puffs in Container V was 5 : 3. 20% of the puffs in Container U and 0.6 of those in Container V were butter cream. After transferring the puffs between the 2 boxes, the number of cherry puffs in both boxes are the same. Likewise, the number of butter cream puffs in both boxes are the same. If a total of 297 puffs were moved, how many more puffs were there in Container U than Container V at first?

Container U		Container V
5 u		3 u
Butter Cream	Cherry	Butter Cream	Cherry
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 butter cream puffs in Container U
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Number of cherry puffs in Container U
= 5 u - 1 u
= 4 u

Number of butter cream puffs in Container V
= 0.6 x 3 u
= 1.8 u

Number of cherry puffs in Container V
= 3 u - 1.8 u
= 1.2 u

Number of butter cream puffs in each box in the end
= (1 u + 1.8 u) ÷ 2
= 2.8 u ÷ 2
= 1.4 u

Number of cherry puffs in each box in the end
= (4 u + 1.2 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u

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

1.8 u = 297

1 u = 297 ÷ 1.8 = 165

Number of more puffs in Container U than Container V at first
= 5 u - 3 u
= 2 u
= 2 x 165
= 330

Answer(s): 330