Oliver had ³₄ as many stickers as Fabian. Fabian had ⁴₇ as many stickers as Victoria. After Oliver and Victoria gave 8 stickers to Fabian, Fabian had thrice as many stickers as Oliver. Victoria then had the same number of stickers as Fabian.

1. What was the ratio of the number of stickers Oliver had to the number of stickers Victoria had in the beginning? Answer in simplest form.
2. How many stickers did Fabian have in the end?

Oliver	Fabian	Victoria
3	4
	4	7
3	4	7

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

Ratio of the number of stickers that Oliver had to the number of stickers that Victoria had in the beginning = 3 : 7

	Oliver	Fabian	Victoria	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 8	+ 16	- 8
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

The total number of stickers at first and in the end remains unchanged. Make the total number of stickers the same. LCM of 14 and 7 is 14.

Number of stickers that Fabian received from Oliver and Victoria
= 2 x 8
= 16

Number of stickers that Fabian received from Oliver and Victoria
= 2 x 1 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of stickers that Ashley had in the end
= 6 u
= 6 x 4
= 24