Warren had ¹₂ as many erasers as Harry. Harry had ²₃ as many erasers as Gabby. After Warren and Gabby gave 8 erasers to Harry, Harry had four times as many erasers as Warren. Gabby then had the same number of erasers as Harry.

1. What was the ratio of the number of erasers Gabby had to the number of erasers Warren had in the beginning? Answer in simplest form.
2. How many erasers did Harry have in the end?

Warren	Harry	Gabby
1	2
	2	3
1	2	3

(a)
The number of erasers that Harry is repeated.  

Ratio of the number of erasers that Gabby had to the number of erasers that Warren had in the beginning = 3 : 1

	Warren	Harry	Gabby	Total
Before	1x3 = 3 u	2x3 = 6 u	3x3 = 9 u	6x3 = 18 u
Change	- 8	+ 16	- 8
After	1x2 = 2 u	4x2 = 8 u	4x2 = 8 u	9x2 = 18 u

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

Number of erasers that Harry received from Warren and Gabby
= 2 x 8
= 16

Number of erasers that Harry received from Warren and Gabby
= 2 x 1 u
= 2 u

2 u = 8

1 u = 8 ÷ 2 = 4

Number of erasers that Ashley had in the end
= 8 u
= 8 x 4
= 32