The total number of beads in Basket W, Basket X and Basket Y was 172. ⁵₈ of the beads from Basket W and 40 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was quadrupled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 3 : 2 : 4.

1. How many more beads were there in Basket W than Basket X at first?
2. Find the total number of beads in Basket W and Basket Y in the end.

	Basket W	Basket X	Basket Y	Total
Before	8 u	2 u + 40	1 u	172
Change	- 5 u	- 40	+ 3 u
After	3 u		4 u
Comparing the beads  in the end	3 u	2 u	4 u

(a)
Total number of beads at first
= 8 u + 2 u + 40 + 1 u
= 11 u + 40

11 u + 40 = 172
11 u = 172 - 40
11 u = 132

1 u = 132 ÷ 11 = 12

Number of more beads in Basket W than Basket X at first 
= 8 u - (2 u + 40)
= 8 u - 2 u - 40
= 6 u - 40
= 6 x 12 - 40
= 72 - 40
= 32

(b)
Total number of beads in Basket W and Basket Y in the end
= 3 u + 4 u
= 7 u
= 7 x 12
= 84 

Answer(s): (a) 32; (b) 84