The ratio of the number of cupcakes in Container G to the number of cupcakes in Container H was 9 : 5. 20% of the cupcakes in Container G and 0.8 of those in Container H were vanilla. After transferring the cupcakes between the 2 boxes, the number of strawberry cupcakes in both boxes are the same. Likewise, the number of vanilla cupcakes in both boxes are the same. If a total of 294 cupcakes were moved, how many more cupcakes were there in Container G than Container H at first?

Container G		Container H
9 u		5 u
Vanilla	Strawberry	Vanilla	Strawberry
1.8 u	7.2 u	4 u	1 u
+ 1.1 u	- 3.1 u	- 1.1 u	+ 3.1 u
2.9 u	4.1 u	2.9 u	4.1 u

Number of vanilla cupcakes in Container G
= 20% x 9 u
= ²⁰₁₀₀ x 9 u
= 1.8 u

Number of strawberry cupcakes in Container G
= 9 u - 1.8 u
= 7.2 u

Number of vanilla cupcakes in Container H
= 0.8 x 5 u
= 4 u

Number of strawberry cupcakes in Container H
= 5 u - 4 u
= 1 u

Number of vanilla cupcakes in each box in the end
= (1.8 u + 4 u) ÷ 2
= 5.8 u ÷ 2
= 2.9 u

Number of strawberry cupcakes in each box in the end
= (7.2 u + 1 u) ÷ 2
= 8.2 u ÷ 2
= 4.1 u

Number of cupcakes moved
= 1.1 u + 3.1 u
= 4.2 u

4.2 u = 294

1 u = 294 ÷ 4.2 = 70

Number of more cupcakes in Container G than Container H at first
= 9 u - 5 u
= 4 u
= 4 x 70
= 280

Answer(s): 280