There were some dragonfruits in 3 baskets, F, G and H. 25% of the number of dragonfruits in Basket F was equal to 10% of the number of dragonfruits in Basket G. The number of dragonfruits in Basket H was 70% of the total number of dragonfruits. After Oliver removed 20% of the dragonfruits in Basket H, there were 968 more dragonfruits in Basket H than in Basket G. In the end, how many dragonfruits should be transferred from Basket G to Basket H so that the number of dragonfruits in Basket F would be the same as Basket G?

Basket F	Basket G	Basket H
2x3	5x3
3x7		7x7
6 u	15 u	49 u

	Basket F	Basket G	Basket H
Before	6 u	15 u	49 u
Change			- 9.8 u
After	6 u	15 u	39.2 u

25% = ²⁵₁₀₀ = ¹₄

10% = ¹⁰₁₀₀ = ¹₁₀

¹₄ Basket F = ¹₁₀ Basket G

Basket F : Basket G
4 : 10
2 : 5

70% = ⁷⁰₁₀₀ = ⁷₁₀

The total number of dragonfruits in Basket F and Basket G is the combined repeated identity.  Make the total number of dragonfruits in Box F and Basket G the same.  LCM of 7 and 3 = 21

Number of dragonfruits removed from Basket H
= ²⁰₁₀₀ x 49 u
= 9.8 u

Number of dragonfruits left in Basket H
= 49 u - 9.8 u
= 39.2 u

Number of more dragonfruits in Basket H than Basket G
= 39.2 u - 15 u
= 24.2 u

24.2 u = 968

1 u = 968 ÷ 24.2 = 40

	Basket F	Basket G	Basket H
Before	6 u	15 u	39.2 u
Change		- 9 u	+ 9 u
After	6 u	6 u	48.2 u

Number of dragonfruits to be transferred from Basket G to Basket H so that the number of dragonfruits in Basket F would be the same as Basket G.
= 15 u - 6 u
= 9 u
= 9 x 40
= 360

Answer(s): 360