The ratio of the number of wafers in Container Q to the number of wafers in Container R was 7 : 3. 20% of the wafers in Container Q and 0.8 of those in Container R were strawberry. After transferring the wafers between the 2 boxes, the number of matcha wafers in both boxes are the same. Likewise, the number of strawberry wafers in both boxes are the same. If a total of 270 wafers were moved, how many more wafers were there in Container Q than Container R at first?

Container Q		Container R
7 u		3 u
Strawberry	Matcha	Strawberry	Matcha
1.4 u	5.6 u	2.4 u	0.6 u
+ 0.5 u	- 2.5 u	- 0.5 u	+ 2.5 u
1.9 u	3.1 u	1.9 u	3.1 u

Number of strawberry wafers in Container Q
= 20% x 7 u
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of matcha wafers in Container Q
= 7 u - 1.4 u
= 5.6 u

Number of strawberry wafers in Container R
= 0.8 x 3 u
= 2.4 u

Number of matcha wafers in Container R
= 3 u - 2.4 u
= 0.6 u

Number of strawberry wafers in each box in the end
= (1.4 u + 2.4 u) ÷ 2
= 3.8 u ÷ 2
= 1.9 u

Number of matcha wafers in each box in the end
= (5.6 u + 0.6 u) ÷ 2
= 6.2 u ÷ 2
= 3.1 u

Number of wafers moved
= 0.5 u + 2.5 u
= 3 u

3 u = 270

1 u = 270 ÷ 3 = 90

Number of more wafers in Container Q than Container R at first
= 7 u - 3 u
= 4 u
= 4 x 90
= 360

Answer(s): 360