Henry had ¹₂ as many stamps as Glen. Glen had ²₃ as many stamps as Lynn. After Henry and Lynn gave 22 stamps to Glen, Glen had four times as many stamps as Henry. Lynn then had the same number of stamps as Glen.

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

Henry	Glen	Lynn
1	2
	2	3
1	2	3

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

Ratio of the number of stamps that Lynn had to the number of stamps that Henry had in the beginning = 3 : 1

	Henry	Glen	Lynn	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 22	+ 44	- 22
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 Glen received from Henry and Lynn
= 2 x 22
= 44

Number of stamps that Glen received from Henry and Lynn
= 2 x 1 u
= 2 u

2 u = 22

1 u = 22 ÷ 2 = 11

Number of stamps that Ashley had in the end
= 8 u
= 8 x 11
= 88