Xavier had ¹₂ as many stickers as Justin. Justin had ²₃ as many stickers as Cindy. After Xavier and Cindy gave 20 stickers to Justin, Justin had four times as many stickers as Xavier. Cindy then had the same number of stickers as Justin.

1. What was the ratio of the number of stickers Xavier had to the number of stickers Cindy had in the beginning? Answer in simplest form.
2. How many stickers did Justin have in the end?

Xavier	Justin	Cindy
1	2
	2	3
1	2	3

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

Ratio of the number of stickers that Xavier had to the number of stickers that Cindy had in the beginning = 1 : 3

	Xavier	Justin	Cindy	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 20	+ 40	- 20
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 Justin received from Xavier and Cindy
= 2 x 20
= 40

Number of stickers that Justin received from Xavier and Cindy
= 2 x 1 u
= 2 u

2 u = 20

1 u = 20 ÷ 2 = 10

Number of stickers that Ashley had in the end
= 8 u
= 8 x 10
= 80