The ratio of the number of wafers in Container M to the number of wafers in Container N was 5 : 3. 40% of the wafers in Container M and 0.8 of those in Container N were mango. After transferring the wafers between the 2 containers, the number of chocolate wafers in both containers are the same. Likewise, the number of mango wafers in both containers are the same. If a total of 182 wafers were moved, how many more wafers were there in Container M than Container N at first?

Container M		Container N
5 u		3 u
Mango	Chocolate	Mango	Chocolate
2 u	3 u	2.4 u	0.6 u
+ 0.2 u	- 1.2 u	- 0.2 u	+ 1.2 u
2.2 u	1.8 u	2.2 u	1.8 u

Number of mango wafers in Container M
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of chocolate wafers in Container M
= 5 u - 2 u
= 3 u

Number of mango wafers in Container N
= 0.8 x 3 u
= 2.4 u

Number of chocolate wafers in Container N
= 3 u - 2.4 u
= 0.6 u

Number of mango wafers in each container in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of chocolate wafers in each container in the end
= (3 u + 0.6 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of wafers moved
= 0.2 u + 1.2 u
= 1.4 u

1.4 u = 182

1 u = 182 ÷ 1.4 = 130

Number of more wafers in Container M than Container N at first
= 5 u - 3 u
= 2 u
= 2 x 130
= 260

Answer(s): 260