Perry had ³₄ as many coins as Charlie. Charlie had ⁴₇ as many coins as Yoko. After Perry and Yoko gave 6 coins to Charlie, Charlie had thrice as many coins as Perry. Yoko then had the same number of coins as Charlie.

1. What was the ratio of the number of coins Yoko had to the number of coins Perry had in the beginning? Answer in simplest form.
2. How many coins did Charlie have in the end?

Perry	Charlie	Yoko
3	4
	4	7
3	4	7

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

Ratio of the number of coins that Yoko had to the number of coins that Perry had in the beginning = 7 : 3

	Perry	Charlie	Yoko	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 6	+ 12	- 6
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 Charlie received from Perry and Yoko
= 2 x 6
= 12

Number of coins that Charlie received from Perry and Yoko
= 2 x 1 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

Number of coins that Ashley had in the end
= 6 u
= 6 x 3
= 18