Flynn had ³₄ as many coins as Mark. Mark had ⁴₇ as many coins as Eva. After Flynn and Eva gave 22 coins to Mark, Mark had thrice as many coins as Flynn. Eva then had the same number of coins as Mark.

1. What was the ratio of the number of coins Eva had to the number of coins Flynn had in the beginning? Answer in simplest form.
2. How many coins did Mark have in the end?

Flynn	Mark	Eva
3	4
	4	7
3	4	7

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

Ratio of the number of coins that Eva had to the number of coins that Flynn had in the beginning = 7 : 3

	Flynn	Mark	Eva	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 22	+ 44	- 22
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 Mark received from Flynn and Eva
= 2 x 22
= 44

Number of coins that Mark received from Flynn and Eva
= 2 x 1 u
= 2 u

2 u = 22

1 u = 22 ÷ 2 = 11

Number of coins that Ashley had in the end
= 6 u
= 6 x 11
= 66