Liam had ³₄ as many stickers as Asher. Asher had ⁴₇ as many stickers as Jaslyn. After Liam and Jaslyn gave 30 stickers to Asher, Asher had thrice as many stickers as Liam. Jaslyn then had the same number of stickers as Asher.

1. What was the ratio of the number of stickers Jaslyn had to the number of stickers Liam had in the beginning? Answer in simplest form.
2. How many stickers did Asher have in the end?

Liam	Asher	Jaslyn
3	4
	4	7
3	4	7

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

Ratio of the number of stickers that Jaslyn had to the number of stickers that Liam had in the beginning = 7 : 3

	Liam	Asher	Jaslyn	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 30	+ 60	- 30
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

The total number of stickers at first and in the end remains unchanged. Make the total number of stickers the same. LCM of 14 and 7 is 14.

Number of stickers that Asher received from Liam and Jaslyn
= 2 x 30
= 60

Number of stickers that Asher received from Liam and Jaslyn
= 2 x 1 u
= 2 u

2 u = 30

1 u = 30 ÷ 2 = 15

Number of stickers that Ashley had in the end
= 6 u
= 6 x 15
= 90