The ratio of the number of puffs in Container T to the number of puffs in Container U was 5 : 3. 30% of the puffs in Container T and 0.7 of those in Container U were matcha. After transferring the puffs between the 2 boxes, the number of vanilla puffs in both boxes are the same. Likewise, the number of matcha puffs in both boxes are the same. If a total of 288 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
Matcha	Vanilla	Matcha	Vanilla
1.5 u	3.5 u	2.1 u	0.9 u
+ 0.3 u	- 1.3 u	- 0.3 u	+ 1.3 u
1.8 u	2.2 u	1.8 u	2.2 u

Number of matcha puffs in Container T
= 30% x 5 u
= ³⁰₁₀₀ x 5 u
= 1.5 u

Number of vanilla puffs in Container T
= 5 u - 1.5 u
= 3.5 u

Number of matcha puffs in Container U
= 0.7 x 3 u
= 2.1 u

Number of vanilla puffs in Container U
= 3 u - 2.1 u
= 0.9 u

Number of matcha puffs in each box in the end
= (1.5 u + 2.1 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of vanilla puffs in each box in the end
= (3.5 u + 0.9 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of puffs moved
= 0.3 u + 1.3 u
= 1.6 u

1.6 u = 288

1 u = 288 ÷ 1.6 = 180

Number of more puffs in Container T than Container U at first
= 5 u - 3 u
= 2 u
= 2 x 180
= 360

Answer(s): 360