Tim had ¹₂ as many stickers as Owen. Owen had ²₃ as many stickers as Jane. After Tim and Jane gave 28 stickers to Owen, Owen had four times as many stickers as Tim. Jane then had the same number of stickers as Owen.

1. What was the ratio of the number of stickers Tim had to the number of stickers Jane had in the beginning? Answer in simplest form.
2. How many stickers did Owen have in the end?

Tim	Owen	Jane
1	2
	2	3
1	2	3

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

Ratio of the number of stickers that Tim had to the number of stickers that Jane had in the beginning = 1 : 3

	Tim	Owen	Jane	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 28	+ 56	- 28
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 Owen received from Tim and Jane
= 2 x 28
= 56

Number of stickers that Owen received from Tim and Jane
= 2 x 1 u
= 2 u

2 u = 28

1 u = 28 ÷ 2 = 14

Number of stickers that Ashley had in the end
= 8 u
= 8 x 14
= 112