Eric had ³₄ as many erasers as Simon. Simon had ⁴₇ as many erasers as Tammy. After Eric and Tammy gave 4 erasers to Simon, Simon had thrice as many erasers as Eric. Tammy then had the same number of erasers as Simon.

1. What was the ratio of the number of erasers Tammy had to the number of erasers Eric had in the beginning? Answer in simplest form.
2. How many erasers did Simon have in the end?

Eric	Simon	Tammy
3	4
	4	7
3	4	7

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

Ratio of the number of erasers that Tammy had to the number of erasers that Eric had in the beginning = 7 : 3

	Eric	Simon	Tammy	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 4	+ 8	- 4
After	1x2 = 2 u	3x2 = 6 u	3x2 = 6 u	7x2 = 14 u

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

Number of erasers that Simon received from Eric and Tammy
= 2 x 4
= 8

Number of erasers that Simon received from Eric and Tammy
= 2 x 1 u
= 2 u

2 u = 4

1 u = 4 ÷ 2 = 2

Number of erasers that Ashley had in the end
= 6 u
= 6 x 2
= 12