Riordan had ¹₂ as many cards as Wesley. Wesley had ²₃ as many cards as Nora. After Riordan and Nora gave 26 cards to Wesley, Wesley had four times as many cards as Riordan. Nora then had the same number of cards as Wesley.

1. What was the ratio of the number of cards Nora had to the number of cards Riordan had in the beginning? Answer in simplest form.
2. How many cards did Wesley have in the end?

Riordan	Wesley	Nora
1	2
	2	3
1	2	3

(a)
The number of cards that Wesley is repeated.  

Ratio of the number of cards that Nora had to the number of cards that Riordan had in the beginning = 3 : 1

	Riordan	Wesley	Nora	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 cards at first and in the end remains unchanged. Make the total number of cards the same. LCM of 6 and 9 is 18.

Number of cards that Wesley received from Riordan and Nora
= 2 x 26
= 52

Number of cards that Wesley received from Riordan and Nora
= 2 x 1 u
= 2 u

2 u = 26

1 u = 26 ÷ 2 = 13

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