Zeph had ¹₂ as many stamps as Ben. Ben had ²₃ as many stamps as Sabrina. After Zeph and Sabrina gave 10 stamps to Ben, Ben had four times as many stamps as Zeph. Sabrina then had the same number of stamps as Ben.

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

Zeph	Ben	Sabrina
1	2
	2	3
1	2	3

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

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

	Zeph	Ben	Sabrina	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 Ben received from Zeph and Sabrina
= 2 x 10
= 20

Number of stamps that Ben received from Zeph and Sabrina
= 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