Eric had ¹₂ as many stamps as Cole. Cole had ²₃ as many stamps as Sabrina. After Eric and Sabrina gave 22 stamps to Cole, Cole had four times as many stamps as Eric. Sabrina then had the same number of stamps as Cole.

1. What was the ratio of the number of stamps Sabrina had to the number of stamps Eric had in the beginning? Answer in simplest form.
2. How many stamps did Cole have in the end?

Eric	Cole	Sabrina
1	2
	2	3
1	2	3

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

Ratio of the number of stamps that Sabrina had to the number of stamps that Eric had in the beginning = 3 : 1

	Eric	Cole	Sabrina	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 Cole received from Eric and Sabrina
= 2 x 22
= 44

Number of stamps that Cole received from Eric and Sabrina
= 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