Glen had ³₄ as many coins as Asher. Asher had ⁴₇ as many coins as Nora. After Glen and Nora gave 16 coins to Asher, Asher had thrice as many coins as Glen. Nora then had the same number of coins as Asher.

1. What was the ratio of the number of coins Glen had to the number of coins Nora had in the beginning? Answer in simplest form.
2. How many coins did Asher have in the end?

Glen	Asher	Nora
3	4
	4	7
3	4	7

(a)
The number of coins that Asher is repeated.  

Ratio of the number of coins that Glen had to the number of coins that Nora had in the beginning = 3 : 7

	Glen	Asher	Nora	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 16	+ 32	- 16
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

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

Number of coins that Asher received from Glen and Nora
= 2 x 16
= 32

Number of coins that Asher received from Glen and Nora
= 2 x 1 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of coins that Ashley had in the end
= 6 u
= 6 x 8
= 48