Jack had ³₄ as many stickers as Neave. Neave had ⁴₇ as many stickers as Usha. After Jack and Usha gave 24 stickers to Neave, Neave had thrice as many stickers as Jack. Usha then had the same number of stickers as Neave.

1. What was the ratio of the number of stickers Usha had to the number of stickers Jack had in the beginning? Answer in simplest form.
2. How many stickers did Neave have in the end?

Jack	Neave	Usha
3	4
	4	7
3	4	7

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

Ratio of the number of stickers that Usha had to the number of stickers that Jack had in the beginning = 7 : 3

	Jack	Neave	Usha	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 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 Neave received from Jack and Usha
= 2 x 24
= 48

Number of stickers that Neave received from Jack and Usha
= 2 x 1 u
= 2 u

2 u = 24

1 u = 24 ÷ 2 = 12

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