The ratio of the number of cupcakes in Container T to the number of cupcakes in Container U was 5 : 3. 30% of the cupcakes in Container T and 0.7 of those in Container U were mango. After transferring the cupcakes between the 2 boxes, the number of matcha cupcakes in both boxes are the same. Likewise, the number of mango cupcakes in both boxes are the same. If a total of 192 cupcakes were moved, how many more cupcakes were there in Container T than Container U at first?

Container T		Container U
5 u		3 u
Mango	Matcha	Mango	Matcha
1.5 u	3.5 u	2.1 u	0.9 u
+ 0.3 u	- 1.3 u	- 0.3 u	+ 1.3 u
1.8 u	2.2 u	1.8 u	2.2 u

Number of mango cupcakes in Container T
= 30% x 5 u
= ³⁰₁₀₀ x 5 u
= 1.5 u

Number of matcha cupcakes in Container T
= 5 u - 1.5 u
= 3.5 u

Number of mango cupcakes in Container U
= 0.7 x 3 u
= 2.1 u

Number of matcha cupcakes in Container U
= 3 u - 2.1 u
= 0.9 u

Number of mango cupcakes in each box in the end
= (1.5 u + 2.1 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of matcha cupcakes in each box in the end
= (3.5 u + 0.9 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of cupcakes moved
= 0.3 u + 1.3 u
= 1.6 u

1.6 u = 192

1 u = 192 ÷ 1.6 = 120

Number of more cupcakes in Container T than Container U at first
= 5 u - 3 u
= 2 u
= 2 x 120
= 240

Answer(s): 240