Ivan had ¹₂ as many stickers as John. John had ²₃ as many stickers as Abi. After Ivan and Abi gave 24 stickers to John, John had four times as many stickers as Ivan. Abi then had the same number of stickers as John.

1. What was the ratio of the number of stickers Ivan had to the number of stickers Abi had in the beginning? Answer in simplest form.
2. How many stickers did John have in the end?

Ivan	John	Abi
1	2
	2	3
1	2	3

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

Ratio of the number of stickers that Ivan had to the number of stickers that Abi had in the beginning = 1 : 3

	Ivan	John	Abi	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 John received from Ivan and Abi
= 2 x 24
= 48

Number of stickers that John received from Ivan and Abi
= 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