Charlie had ¹₂ as many stickers as George. George had ²₃ as many stickers as Dana. After Charlie and Dana gave 24 stickers to George, George had four times as many stickers as Charlie. Dana then had the same number of stickers as George.

1. What was the ratio of the number of stickers Dana had to the number of stickers Charlie had in the beginning? Answer in simplest form.
2. How many stickers did George have in the end?

Charlie	George	Dana
1	2
	2	3
1	2	3

(a)
The number of stickers that George is repeated.  

Ratio of the number of stickers that Dana had to the number of stickers that Charlie had in the beginning = 3 : 1

	Charlie	George	Dana	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 24	+ 48	- 24
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

The total number of stickers at first and in the end remains unchanged. Make the total number of stickers the same. LCM of 6 and 9 is 18.

Number of stickers that George received from Charlie and Dana
= 2 x 24
= 48

Number of stickers that George received from Charlie and Dana
= 2 x 1 u
= 2 u

2 u = 24

1 u = 24 ÷ 2 = 12

Number of stickers that Ashley had in the end
= 8 u
= 8 x 12
= 96