Flynn had ³₄ as many erasers as Eric. Eric had ⁴₇ as many erasers as Kimberly. After Flynn and Kimberly gave 30 erasers to Eric, Eric had thrice as many erasers as Flynn. Kimberly then had the same number of erasers as Eric.

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

Flynn	Eric	Kimberly
3	4
	4	7
3	4	7

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

Ratio of the number of erasers that Kimberly had to the number of erasers that Flynn had in the beginning = 7 : 3

	Flynn	Eric	Kimberly	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 30	+ 60	- 30
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 Eric received from Flynn and Kimberly
= 2 x 30
= 60

Number of erasers that Eric received from Flynn and Kimberly
= 2 x 1 u
= 2 u

2 u = 30

1 u = 30 ÷ 2 = 15

Number of erasers that Ashley had in the end
= 6 u
= 6 x 15
= 90