Henry had ¹₂ as many stickers as Ahmad. Ahmad had ²₃ as many stickers as Emily. After Henry and Emily gave 16 stickers to Ahmad, Ahmad had four times as many stickers as Henry. Emily then had the same number of stickers as Ahmad.

1. What was the ratio of the number of stickers Emily had to the number of stickers Henry had in the beginning? Answer in simplest form.
2. How many stickers did Ahmad have in the end?

Henry	Ahmad	Emily
1	2
	2	3
1	2	3

(a)
The number of stickers that Ahmad is repeated.  

Ratio of the number of stickers that Emily had to the number of stickers that Henry had in the beginning = 3 : 1

	Henry	Ahmad	Emily	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 16	+ 32	- 16
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

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

Number of stickers that Ahmad received from Henry and Emily
= 2 x 16
= 32

Number of stickers that Ahmad received from Henry and Emily
= 2 x 1 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of stickers that Ashley had in the end
= 8 u
= 8 x 8
= 64