The ratio of the number of cupcakes in Container K to the number of cupcakes in Container L was 7 : 3. 10% of the cupcakes in Container K and 0.9 of those in Container L were cherry. After transferring the cupcakes between the 2 containers, the number of mango cupcakes in both containers are the same. Likewise, the number of cherry cupcakes in both containers are the same. If a total of 184 cupcakes were moved, how many more cupcakes were there in Container K than Container L at first?

Container K		Container L
7 u		3 u
Cherry	Mango	Cherry	Mango
0.7 u	6.3 u	2.7 u	0.3 u
+ 1 u	- 3 u	- 1 u	+ 3 u
1.7 u	3.3 u	1.7 u	3.3 u

Number of cherry cupcakes in Container K
= 10% x 7 u
= ¹⁰₁₀₀ x 7 u
= 0.7 u

Number of mango cupcakes in Container K
= 7 u - 0.7 u
= 6.3 u

Number of cherry cupcakes in Container L
= 0.9 x 3 u
= 2.7 u

Number of mango cupcakes in Container L
= 3 u - 2.7 u
= 0.3 u

Number of cherry cupcakes in each container in the end
= (0.7 u + 2.7 u) ÷ 2
= 3.4 u ÷ 2
= 1.7 u

Number of mango cupcakes in each container in the end
= (6.3 u + 0.3 u) ÷ 2
= 6.6 u ÷ 2
= 3.3 u

Number of cupcakes moved
= 1 u + 3 u
= 4 u

4 u = 184

1 u = 184 ÷ 4 = 46

Number of more cupcakes in Container K than Container L at first
= 7 u - 3 u
= 4 u
= 4 x 46
= 184

Answer(s): 184