The total number of marbles in Basket F, Basket G and Basket H was 52. ³₈ of the marbles from Basket F and 8 marbles from Basket G were removed. More marbles were then added into Basket H until the number of marbles in it was tripled. The ratio of the number of marbles in Basket F to Basket G to Basket H became 5 : 2 : 3.

1. How many more marbles were there in Basket F than Basket G at first?
2. Find the total number of marbles in Basket F and Basket H in the end.

	Basket F	Basket G	Basket H	Total
Before	8 u	2 u + 8	1 u	52
Change	- 3 u	- 8	+ 2 u
After	5 u		3 u
Comparing the marbles  in the end	5 u	2 u	3 u

(a)
Total number of marbles at first
= 8 u + 2 u + 8 + 1 u
= 11 u + 8

11 u + 8 = 52
11 u = 52 - 8
11 u = 44

1 u = 44 ÷ 11 = 4

Number of more marbles in Basket F than Basket G at first 
= 8 u - (2 u + 8)
= 8 u - 2 u - 8
= 6 u - 8
= 6 x 4 - 8
= 24 - 8
= 16

(b)
Total number of marbles in Basket F and Basket H in the end
= 5 u + 3 u
= 8 u
= 8 x 4
= 32 

Answer(s): (a) 16; (b) 32