Ahmad had ³₄ as many stamps as Fabian. Fabian had ⁴₇ as many stamps as Erika. After Ahmad and Erika gave 24 stamps to Fabian, Fabian had thrice as many stamps as Ahmad. Erika then had the same number of stamps as Fabian.

1. What was the ratio of the number of stamps Erika had to the number of stamps Ahmad had in the beginning? Answer in simplest form.
2. How many stamps did Fabian have in the end?

Ahmad	Fabian	Erika
3	4
	4	7
3	4	7

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

Ratio of the number of stamps that Erika had to the number of stamps that Ahmad had in the beginning = 7 : 3

	Ahmad	Fabian	Erika	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 24	+ 48	- 24
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 Fabian received from Ahmad and Erika
= 2 x 24
= 48

Number of stamps that Fabian received from Ahmad and Erika
= 2 x 1 u
= 2 u

2 u = 24

1 u = 24 ÷ 2 = 12

Number of stamps that Ashley had in the end
= 6 u
= 6 x 12
= 72