The ratio of the number of wafers in Container G to the number of wafers in Container H was 5 : 3. 40% of the wafers in Container G and 0.8 of those in Container H were chocolate. After transferring the wafers between the 2 containers, the number of mocha wafers in both containers are the same. Likewise, the number of chocolate wafers in both containers are the same. If a total of 161 wafers were moved, how many more wafers were there in Container G than Container H at first?

Container G		Container H
5 u		3 u
Chocolate	Mocha	Chocolate	Mocha
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 chocolate wafers in Container G
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of mocha wafers in Container G
= 5 u - 2 u
= 3 u

Number of chocolate wafers in Container H
= 0.8 x 3 u
= 2.4 u

Number of mocha wafers in Container H
= 3 u - 2.4 u
= 0.6 u

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

Number of mocha 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 = 161

1 u = 161 ÷ 1.4 = 115

Number of more wafers in Container G than Container H at first
= 5 u - 3 u
= 2 u
= 2 x 115
= 230

Answer(s): 230