The ratio of the number of puffs in Container K to the number of puffs in Container L was 7 : 3. 20% of the puffs in Container K and 0.9 of those in Container L were mocha. After transferring the puffs between the 2 containers, the number of cherry puffs in both containers are the same. Likewise, the number of mocha puffs in both containers are the same. If a total of 264 puffs were moved, how many more puffs were there in Container K than Container L at first?

Container K		Container L
7 u		3 u
Mocha	Cherry	Mocha	Cherry
1.4 u	5.6 u	2.7 u	0.3 u
+ 0.65 u	- 2.65 u	- 0.65 u	+ 2.65 u
2.05 u	2.95 u	2.05 u	2.95 u

Number of mocha puffs in Container K
= 20% x 7 u
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of cherry puffs in Container K
= 7 u - 1.4 u
= 5.6 u

Number of mocha puffs in Container L
= 0.9 x 3 u
= 2.7 u

Number of cherry puffs in Container L
= 3 u - 2.7 u
= 0.3 u

Number of mocha puffs in each container in the end
= (1.4 u + 2.7 u) ÷ 2
= 4.1 u ÷ 2
= 2.05 u

Number of cherry puffs in each container in the end
= (5.6 u + 0.3 u) ÷ 2
= 5.9 u ÷ 2
= 2.95 u

Number of puffs moved
= 0.65 u + 2.65 u
= 3.3 u

3.3 u = 264

1 u = 264 ÷ 3.3 = 80

Number of more puffs in Container K than Container L at first
= 7 u - 3 u
= 4 u
= 4 x 80
= 320

Answer(s): 320