Brandon had ³₄ as many stamps as Will. Will had ⁴₇ as many stamps as Roshel. After Brandon and Roshel gave 26 stamps to Will, Will had thrice as many stamps as Brandon. Roshel then had the same number of stamps as Will.

1. What was the ratio of the number of stamps Brandon had to the number of stamps Roshel had in the beginning? Answer in simplest form.
2. How many stamps did Will have in the end?

Brandon	Will	Roshel
3	4
	4	7
3	4	7

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

Ratio of the number of stamps that Brandon had to the number of stamps that Roshel had in the beginning = 3 : 7

	Brandon	Will	Roshel	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 26	+ 52	- 26
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

The total number of stamps at first and in the end remains unchanged. Make the total number of stamps the same. LCM of 14 and 7 is 14.

Number of stamps that Will received from Brandon and Roshel
= 2 x 26
= 52

Number of stamps that Will received from Brandon and Roshel
= 2 x 1 u
= 2 u

2 u = 26

1 u = 26 ÷ 2 = 13

Number of stamps that Ashley had in the end
= 6 u
= 6 x 13
= 78