Lee had ¹₂ as many stickers as Bryan. Bryan had ²₃ as many stickers as Nicole. After Lee and Nicole gave 18 stickers to Bryan, Bryan had four times as many stickers as Lee. Nicole then had the same number of stickers as Bryan.

1. What was the ratio of the number of stickers Nicole had to the number of stickers Lee had in the beginning? Answer in simplest form.
2. How many stickers did Bryan have in the end?

Lee	Bryan	Nicole
1	2
	2	3
1	2	3

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

Ratio of the number of stickers that Nicole had to the number of stickers that Lee had in the beginning = 3 : 1

	Lee	Bryan	Nicole	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 18	+ 36	- 18
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 Bryan received from Lee and Nicole
= 2 x 18
= 36

Number of stickers that Bryan received from Lee and Nicole
= 2 x 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Number of stickers that Ashley had in the end
= 8 u
= 8 x 9
= 72