Warren had ¹₂ as many stamps as Ivan. Ivan had ²₃ as many stamps as Dana. After Warren and Dana gave 26 stamps to Ivan, Ivan had four times as many stamps as Warren. Dana then had the same number of stamps as Ivan.

1. What was the ratio of the number of stamps Warren had to the number of stamps Dana had in the beginning? Answer in simplest form.
2. How many stamps did Ivan have in the end?

Warren	Ivan	Dana
1	2
	2	3
1	2	3

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

Ratio of the number of stamps that Warren had to the number of stamps that Dana had in the beginning = 1 : 3

	Warren	Ivan	Dana	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 26	+ 52	- 26
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 Ivan received from Warren and Dana
= 2 x 26
= 52

Number of stamps that Ivan received from Warren and Dana
= 2 x 1 u
= 2 u

2 u = 26

1 u = 26 ÷ 2 = 13

Number of stamps that Ashley had in the end
= 8 u
= 8 x 13
= 104