The ratio of the number of puffs in Container N to the number of puffs in Container P was 7 : 3. 20% of the puffs in Container N and 0.7 of those in Container P were cherry. After transferring the puffs between the 2 boxes, the number of peach puffs in both boxes are the same. Likewise, the number of cherry puffs in both boxes are the same. If a total of 162 puffs were moved, how many more puffs were there in Container N than Container P at first?

Container N		Container P
7 u		3 u
Cherry	Peach	Cherry	Peach
1.4 u	5.6 u	2.1 u	0.9 u
+ 0.35 u	- 2.35 u	- 0.35 u	+ 2.35 u
1.75 u	3.25 u	1.75 u	3.25 u

Number of cherry puffs in Container N
= 20% x 7 u
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of peach puffs in Container N
= 7 u - 1.4 u
= 5.6 u

Number of cherry puffs in Container P
= 0.7 x 3 u
= 2.1 u

Number of peach puffs in Container P
= 3 u - 2.1 u
= 0.9 u

Number of cherry puffs in each box in the end
= (1.4 u + 2.1 u) ÷ 2
= 3.5 u ÷ 2
= 1.75 u

Number of peach puffs in each box in the end
= (5.6 u + 0.9 u) ÷ 2
= 6.5 u ÷ 2
= 3.25 u

Number of puffs moved
= 0.35 u + 2.35 u
= 2.7 u

2.7 u = 162

1 u = 162 ÷ 2.7 = 60

Number of more puffs in Container N than Container P at first
= 7 u - 3 u
= 4 u
= 4 x 60
= 240

Answer(s): 240