The ratio of the number of puffs in Container D to the number of puffs in Container E was 5 : 3. 40% of the puffs in Container D and 0.8 of those in Container E were vanilla. After transferring the puffs between the 2 containers, the number of cherry puffs in both containers are the same. Likewise, the number of vanilla puffs in both containers are the same. If a total of 154 puffs were moved, how many more puffs were there in Container D than Container E at first?

Container D		Container E
5 u		3 u
Vanilla	Cherry	Vanilla	Cherry
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 vanilla puffs in Container D
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of cherry puffs in Container D
= 5 u - 2 u
= 3 u

Number of vanilla puffs in Container E
= 0.8 x 3 u
= 2.4 u

Number of cherry puffs in Container E
= 3 u - 2.4 u
= 0.6 u

Number of vanilla puffs in each container in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of cherry puffs in each container 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 = 154

1 u = 154 ÷ 1.4 = 110

Number of more puffs in Container D than Container E at first
= 5 u - 3 u
= 2 u
= 2 x 110
= 220

Answer(s): 220