John had ¹₂ as many stamps as Perry. Perry had ²₃ as many stamps as Fiona. After John and Fiona gave 18 stamps to Perry, Perry had four times as many stamps as John. Fiona then had the same number of stamps as Perry.

1. What was the ratio of the number of stamps Fiona had to the number of stamps John had in the beginning? Answer in simplest form.
2. How many stamps did Perry have in the end?

John	Perry	Fiona
1	2
	2	3
1	2	3

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

Ratio of the number of stamps that Fiona had to the number of stamps that John had in the beginning = 3 : 1

	John	Perry	Fiona	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 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 Perry received from John and Fiona
= 2 x 18
= 36

Number of stamps that Perry received from John and Fiona
= 2 x 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

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