Oliver had ³₄ as many stickers as Oscar. Oscar had ⁴₇ as many stickers as Jen. After Oliver and Jen gave 16 stickers to Oscar, Oscar had thrice as many stickers as Oliver. Jen then had the same number of stickers as Oscar.

1. What was the ratio of the number of stickers Oliver had to the number of stickers Jen had in the beginning? Answer in simplest form.
2. How many stickers did Oscar have in the end?

Oliver	Oscar	Jen
3	4
	4	7
3	4	7

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

Ratio of the number of stickers that Oliver had to the number of stickers that Jen had in the beginning = 3 : 7

	Oliver	Oscar	Jen	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 16	+ 32	- 16
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 Oscar received from Oliver and Jen
= 2 x 16
= 32

Number of stickers that Oscar received from Oliver and Jen
= 2 x 1 u
= 2 u

2 u = 16

1 u = 16 ÷ 2 = 8

Number of stickers that Ashley had in the end
= 6 u
= 6 x 8
= 48