The total number of beads in Basket B, Basket C and Basket D was 168. ⁷₈ of the beads from Basket B and 14 beads from Basket C were removed. More beads were then added into Basket D until the number of beads in it was tripled. The ratio of the number of beads in Basket B to Basket C to Basket D became 1 : 5 : 3.

1. How many less beads were there in Basket C than Basket B at first?
2. Find the total number of beads in Basket C and Basket D in the end.

	Basket B	Basket C	Basket D	Total
Before	8 u	5 u + 14	1 u	168
Change	- 7 u	- 14	+ 2 u
After	1 u		3 u
Comparing the beads  in the end	1 u	5 u	3 u

(a)
Total number of beads at first
= 8 u + 5 u + 14 + 1 u
= 14 u + 14

14 u + 14 = 168
14 u = 168 - 14
14 u = 154

1 u = 154 ÷ 14 = 11

Number of less beads in Basket C than Basket B at first 
= 8 u - (5 u + 14)
= 8 u - 5 u - 14
= 3 u - 14
= 3 x 11 - 14
= 33 - 14
= 19

(b)
Total number of beads in Basket C and Basket D in the end
= 5 u + 3 u
= 8 u
= 8 x 11
= 88 

Answer(s): (a) 19; (b) 88