The ratio of the number of wafers in Container E to the number of wafers in Container F was 9 : 5. 30% of the wafers in Container E and 0.9 of those in Container F were strawberry. After transferring the wafers between the 2 containers, the number of mango wafers in both containers are the same. Likewise, the number of strawberry wafers in both containers are the same. If a total of 152 wafers were moved, how many more wafers were there in Container E than Container F at first?

Container E		Container F
9 u		5 u
Strawberry	Mango	Strawberry	Mango
2.7 u	6.3 u	4.5 u	0.5 u
+ 0.9 u	- 2.9 u	- 0.9 u	+ 2.9 u
3.6 u	3.4 u	3.6 u	3.4 u

Number of strawberry wafers in Container E
= 30% x 9 u
= ³⁰₁₀₀ x 9 u
= 2.7 u

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

Number of strawberry wafers in Container F
= 0.9 x 5 u
= 4.5 u

Number of mango wafers in Container F
= 5 u - 4.5 u
= 0.5 u

Number of strawberry wafers in each container in the end
= (2.7 u + 4.5 u) ÷ 2
= 7.2 u ÷ 2
= 3.6 u

Number of mango wafers in each container in the end
= (6.3 u + 0.5 u) ÷ 2
= 6.8 u ÷ 2
= 3.4 u

Number of wafers moved
= 0.9 u + 2.9 u
= 3.8 u

3.8 u = 152

1 u = 152 ÷ 3.8 = 40

Number of more wafers in Container E than Container F at first
= 9 u - 5 u
= 4 u
= 4 x 40
= 160

Answer(s): 160