The ratio of the number of puffs in Container T to the number of puffs in Container U was 5 : 3. 20% of the puffs in Container T and 0.6 of those in Container U were cherry. After transferring the puffs between the 2 containers, the number of peach puffs in both containers are the same. Likewise, the number of cherry puffs in both containers are the same. If a total of 216 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
Cherry	Peach	Cherry	Peach
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 cherry puffs in Container T
= 20% x 5 u
= ²⁰₁₀₀ x 5 u
= 1 u

Number of peach puffs in Container T
= 5 u - 1 u
= 4 u

Number of cherry puffs in Container U
= 0.6 x 3 u
= 1.8 u

Number of peach puffs in Container U
= 3 u - 1.8 u
= 1.2 u

Number of cherry puffs in each container in the end
= (1 u + 1.8 u) ÷ 2
= 2.8 u ÷ 2
= 1.4 u

Number of peach puffs in each container 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 = 216

1 u = 216 ÷ 1.8 = 120

Number of more puffs in Container T than Container U at first
= 5 u - 3 u
= 2 u
= 2 x 120
= 240

Answer(s): 240