Flynn had ³₄ as many stamps as Nick. Nick had ⁴₇ as many stamps as Victoria. After Flynn and Victoria gave 6 stamps to Nick, Nick had thrice as many stamps as Flynn. Victoria then had the same number of stamps as Nick.

1. What was the ratio of the number of stamps Victoria had to the number of stamps Flynn had in the beginning? Answer in simplest form.
2. How many stamps did Nick have in the end?

Flynn	Nick	Victoria
3	4
	4	7
3	4	7

(a)
The number of stamps that Nick is repeated.  

Ratio of the number of stamps that Victoria had to the number of stamps that Flynn had in the beginning = 7 : 3

	Flynn	Nick	Victoria	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 stamps at first and in the end remains unchanged. Make the total number of stamps the same. LCM of 14 and 7 is 14.

Number of stamps that Nick received from Flynn and Victoria
= 2 x 6
= 12

Number of stamps that Nick received from Flynn and Victoria
= 2 x 1 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

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