Jenson had ¹₂ as many stickers as Albert. Albert had ²₃ as many stickers as Hilda. After Jenson and Hilda gave 6 stickers to Albert, Albert had four times as many stickers as Jenson. Hilda then had the same number of stickers as Albert.

1. What was the ratio of the number of stickers Jenson had to the number of stickers Hilda had in the beginning? Answer in simplest form.
2. How many stickers did Albert have in the end?

Jenson	Albert	Hilda
1	2
	2	3
1	2	3

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

Ratio of the number of stickers that Jenson had to the number of stickers that Hilda had in the beginning = 1 : 3

	Jenson	Albert	Hilda	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 6	+ 12	- 6
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 Albert received from Jenson and Hilda
= 2 x 6
= 12

Number of stickers that Albert received from Jenson and Hilda
= 2 x 1 u
= 2 u

2 u = 6

1 u = 6 ÷ 2 = 3

Number of stickers that Ashley had in the end
= 8 u
= 8 x 3
= 24