The ratio of the number of cupcakes in Container H to the number of cupcakes in Container J was 7 : 5. 20% of the cupcakes in Container H and 0.6 of those in Container J were strawberry. After transferring the cupcakes between the 2 containers, the number of mocha cupcakes in both containers are the same. Likewise, the number of strawberry cupcakes in both containers are the same. If a total of 286 cupcakes were moved, how many more cupcakes were there in Container H than Container J at first?

Container H		Container J
7 u		5 u
Strawberry	Mocha	Strawberry	Mocha
1.4 u	5.6 u	3 u	2 u
+ 0.8 u	- 1.8 u	- 0.8 u	+ 1.8 u
2.2 u	3.8 u	2.2 u	3.8 u

Number of strawberry cupcakes in Container H
= 20% x 7 u
= ²⁰₁₀₀ x 7 u
= 1.4 u

Number of mocha cupcakes in Container H
= 7 u - 1.4 u
= 5.6 u

Number of strawberry cupcakes in Container J
= 0.6 x 5 u
= 3 u

Number of mocha cupcakes in Container J
= 5 u - 3 u
= 2 u

Number of strawberry cupcakes in each container in the end
= (1.4 u + 3 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of mocha cupcakes in each container in the end
= (5.6 u + 2 u) ÷ 2
= 7.6 u ÷ 2
= 3.8 u

Number of cupcakes moved
= 0.8 u + 1.8 u
= 2.6 u

2.6 u = 286

1 u = 286 ÷ 2.6 = 110

Number of more cupcakes in Container H than Container J at first
= 7 u - 5 u
= 2 u
= 2 x 110
= 220

Answer(s): 220