The ratio of the number of wafers in Container Q to the number of wafers in Container R was 9 : 5. 30% of the wafers in Container Q and 0.6 of those in Container R were peach. After transferring the wafers between the 2 boxes, the number of mango wafers in both boxes are the same. Likewise, the number of peach wafers in both boxes are the same. If a total of 184 wafers were moved, how many more wafers were there in Container Q than Container R at first?

Container Q		Container R
9 u		5 u
Peach	Mango	Peach	Mango
2.7 u	6.3 u	3 u	2 u
+ 0.15 u	- 2.15 u	- 0.15 u	+ 2.15 u
2.85 u	4.15 u	2.85 u	4.15 u

Number of peach wafers in Container Q
= 30% x 9 u
= ³⁰₁₀₀ x 9 u
= 2.7 u

Number of mango wafers in Container Q
= 9 u - 2.7 u
= 6.3 u

Number of peach wafers in Container R
= 0.6 x 5 u
= 3 u

Number of mango wafers in Container R
= 5 u - 3 u
= 2 u

Number of peach wafers in each box in the end
= (2.7 u + 3 u) ÷ 2
= 5.7 u ÷ 2
= 2.85 u

Number of mango wafers in each box in the end
= (6.3 u + 2 u) ÷ 2
= 8.3 u ÷ 2
= 4.15 u

Number of wafers moved
= 0.15 u + 2.15 u
= 2.3 u

2.3 u = 184

1 u = 184 ÷ 2.3 = 80

Number of more wafers in Container Q than Container R at first
= 9 u - 5 u
= 4 u
= 4 x 80
= 320

Answer(s): 320