The ratio of the number of puffs in Container H to the number of puffs in Container J was 9 : 5. 40% of the puffs in Container H and 0.8 of those in Container J 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 276 puffs were moved, how many more puffs were there in Container H than Container J at first?

Container H		Container J
9 u		5 u
Vanilla	Cherry	Vanilla	Cherry
3.6 u	5.4 u	4 u	1 u
+ 0.2 u	- 2.2 u	- 0.2 u	+ 2.2 u
3.8 u	3.2 u	3.8 u	3.2 u

Number of vanilla puffs in Container H
= 40% x 9 u
= ⁴⁰₁₀₀ x 9 u
= 3.6 u

Number of cherry puffs in Container H
= 9 u - 3.6 u
= 5.4 u

Number of vanilla puffs in Container J
= 0.8 x 5 u
= 4 u

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

Number of vanilla puffs in each container in the end
= (3.6 u + 4 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u

Number of cherry puffs in each container in the end
= (5.4 u + 1 u) ÷ 2
= 6.4 u ÷ 2
= 3.2 u

Number of puffs moved
= 0.2 u + 2.2 u
= 2.4 u

2.4 u = 276

1 u = 276 ÷ 2.4 = 115

Number of more puffs in Container H than Container J at first
= 9 u - 5 u
= 4 u
= 4 x 115
= 460

Answer(s): 460