The ratio of the number of wafers in Container H to the number of wafers in Container J was 5 : 3. 10% of the wafers in Container H and 0.7 of those in Container J were cherry. After transferring the wafers between the 2 boxes, the number of matcha wafers in both boxes are the same. Likewise, the number of cherry wafers in both boxes are the same. If a total of 156 wafers were moved, how many more wafers were there in Container H than Container J at first?

Container H		Container J
5 u		3 u
Cherry	Matcha	Cherry	Matcha
0.5 u	4.5 u	2.1 u	0.9 u
+ 0.8 u	- 1.8 u	- 0.8 u	+ 1.8 u
1.3 u	2.7 u	1.3 u	2.7 u

Number of cherry wafers in Container H
= 10% x 5 u
= ¹⁰₁₀₀ x 5 u
= 0.5 u

Number of matcha wafers in Container H
= 5 u - 0.5 u
= 4.5 u

Number of cherry wafers in Container J
= 0.7 x 3 u
= 2.1 u

Number of matcha wafers in Container J
= 3 u - 2.1 u
= 0.9 u

Number of cherry wafers in each box in the end
= (0.5 u + 2.1 u) ÷ 2
= 2.6 u ÷ 2
= 1.3 u

Number of matcha wafers in each box in the end
= (4.5 u + 0.9 u) ÷ 2
= 5.4 u ÷ 2
= 2.7 u

Number of wafers moved
= 0.8 u + 1.8 u
= 2.6 u

2.6 u = 156

1 u = 156 ÷ 2.6 = 60

Number of more wafers in Container H than Container J at first
= 5 u - 3 u
= 2 u
= 2 x 60
= 120

Answer(s): 120