The ratio of the number of cupcakes in Container A to the number of cupcakes in Container B was 7 : 5. 30% of the cupcakes in Container A and 0.8 of those in Container B were strawberry. After transferring the cupcakes between the 2 boxes, the number of mango cupcakes in both boxes are the same. Likewise, the number of strawberry cupcakes in both boxes are the same. If a total of 174 cupcakes were moved, how many more cupcakes were there in Container A than Container B at first?

Container A		Container B
7 u		5 u
Strawberry	Mango	Strawberry	Mango
2.1 u	4.9 u	4 u	1 u
+ 0.95 u	- 1.95 u	- 0.95 u	+ 1.95 u
3.05 u	2.95 u	3.05 u	2.95 u

Number of strawberry cupcakes in Container A
= 30% x 7 u
= ³⁰₁₀₀ x 7 u
= 2.1 u

Number of mango cupcakes in Container A
= 7 u - 2.1 u
= 4.9 u

Number of strawberry cupcakes in Container B
= 0.8 x 5 u
= 4 u

Number of mango cupcakes in Container B
= 5 u - 4 u
= 1 u

Number of strawberry cupcakes in each box in the end
= (2.1 u + 4 u) ÷ 2
= 6.1 u ÷ 2
= 3.05 u

Number of mango cupcakes in each box in the end
= (4.9 u + 1 u) ÷ 2
= 5.9 u ÷ 2
= 2.95 u

Number of cupcakes moved
= 0.95 u + 1.95 u
= 2.9 u

2.9 u = 174

1 u = 174 ÷ 2.9 = 60

Number of more cupcakes in Container A than Container B at first
= 7 u - 5 u
= 2 u
= 2 x 60
= 120

Answer(s): 120