Reggie had ³₄ as many erasers as Bryan. Bryan had ⁴₇ as many erasers as Raeann. After Reggie and Raeann gave 18 erasers to Bryan, Bryan had thrice as many erasers as Reggie. Raeann then had the same number of erasers as Bryan.

1. What was the ratio of the number of erasers Reggie had to the number of erasers Raeann had in the beginning? Answer in simplest form.
2. How many erasers did Bryan have in the end?

Reggie	Bryan	Raeann
3	4
	4	7
3	4	7

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

Ratio of the number of erasers that Reggie had to the number of erasers that Raeann had in the beginning = 3 : 7

	Reggie	Bryan	Raeann	Total
Before	3x1 = 3 u	4x1 = 4 u	7x1 = 7 u	14x1 = 14 u
Change	- 18	+ 36	- 18
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 Bryan received from Reggie and Raeann
= 2 x 18
= 36

Number of erasers that Bryan received from Reggie and Raeann
= 2 x 1 u
= 2 u

2 u = 18

1 u = 18 ÷ 2 = 9

Number of erasers that Ashley had in the end
= 6 u
= 6 x 9
= 54