Glen had ¹₂ as many stamps as Zane. Zane had ²₃ as many stamps as Shannon. After Glen and Shannon gave 10 stamps to Zane, Zane had four times as many stamps as Glen. Shannon then had the same number of stamps as Zane.

1. What was the ratio of the number of stamps Glen had to the number of stamps Shannon had in the beginning? Answer in simplest form.
2. How many stamps did Zane have in the end?

Glen	Zane	Shannon
1	2
	2	3
1	2	3

(a)
The number of stamps that Zane is repeated.  

Ratio of the number of stamps that Glen had to the number of stamps that Shannon had in the beginning = 1 : 3

	Glen	Zane	Shannon	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 10	+ 20	- 10
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

The total number of stamps at first and in the end remains unchanged. Make the total number of stamps the same. LCM of 6 and 9 is 18.

Number of stamps that Zane received from Glen and Shannon
= 2 x 10
= 20

Number of stamps that Zane received from Glen and Shannon
= 2 x 1 u
= 2 u

2 u = 10

1 u = 10 ÷ 2 = 5

Number of stamps that Ashley had in the end
= 8 u
= 8 x 5
= 40