George had ¹₂ as many coins as Carl. Carl had ²₃ as many coins as Lynn. After George and Lynn gave 28 coins to Carl, Carl had four times as many coins as George. Lynn then had the same number of coins as Carl.

1. What was the ratio of the number of coins George had to the number of coins Lynn had in the beginning? Answer in simplest form.
2. How many coins did Carl have in the end?

George	Carl	Lynn
1	2
	2	3
1	2	3

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

Ratio of the number of coins that George had to the number of coins that Lynn had in the beginning = 1 : 3

	George	Carl	Lynn	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 28	+ 56	- 28
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

The total number of coins at first and in the end remains unchanged. Make the total number of coins the same. LCM of 6 and 9 is 18.

Number of coins that Carl received from George and Lynn
= 2 x 28
= 56

Number of coins that Carl received from George and Lynn
= 2 x 1 u
= 2 u

2 u = 28

1 u = 28 ÷ 2 = 14

Number of coins that Ashley had in the end
= 8 u
= 8 x 14
= 112