The ratio of the number of puffs in Container Q to the number of puffs in Container R was 9 : 5. 40% of the puffs in Container Q and 0.8 of those in Container R were butter cream. After transferring the puffs between the 2 boxes, the number of mocha puffs in both boxes are the same. Likewise, the number of butter cream puffs in both boxes are the same. If a total of 216 puffs were moved, how many more puffs were there in Container Q than Container R at first?

Container Q		Container R
9 u		5 u
Butter Cream	Mocha	Butter Cream	Mocha
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 butter cream puffs in Container Q
= 40% x 9 u
= ⁴⁰₁₀₀ x 9 u
= 3.6 u

Number of mocha puffs in Container Q
= 9 u - 3.6 u
= 5.4 u

Number of butter cream puffs in Container R
= 0.8 x 5 u
= 4 u

Number of mocha puffs in Container R
= 5 u - 4 u
= 1 u

Number of butter cream puffs in each box in the end
= (3.6 u + 4 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u

Number of mocha puffs in each box 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 = 216

1 u = 216 ÷ 2.4 = 90

Number of more puffs in Container Q than Container R at first
= 9 u - 5 u
= 4 u
= 4 x 90
= 360

Answer(s): 360