Vincent had ³₄ as many stickers as Sean. Sean had ⁴₇ as many stickers as Anna. After Vincent and Anna gave 18 stickers to Sean, Sean had thrice as many stickers as Vincent. Anna then had the same number of stickers as Sean.

1. What was the ratio of the number of stickers Anna had to the number of stickers Vincent had in the beginning? Answer in simplest form.
2. How many stickers did Sean have in the end?

Vincent	Sean	Anna
3	4
	4	7
3	4	7

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

Ratio of the number of stickers that Anna had to the number of stickers that Vincent had in the beginning = 7 : 3

	Vincent	Sean	Anna	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 18	+ 36	- 18
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 Sean received from Vincent and Anna
= 2 x 18
= 36

Number of stickers that Sean received from Vincent and Anna
= 2 x 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Number of stickers that Ashley had in the end
= 6 u
= 6 x 9
= 54