Reggie and Perry had 48 cookies altogether. After Reggie ate ¹₄ of his cookies and Perry ate 8 cookies, the number of cookies Perry had left was twice the number of cookies Reggie had left. How many more cookies did Perry have than Reggie at first?

	Reggie	Perry	Total
Before	4 u	6 u + 8	48
Change	- 1 u	- 8
After	3 u
Comparing Reggie and Perry in the end	1x3 = 3 u	2x3 = 6 u

The number of cookies that Reggie had in the end is the same. Make the number of cookies that Reggie had in the end the same.  LCM of 3 and 1 is 3.

Total number of cookies at first
= 4 u + 6 u + 8
= 10 u + 8

10 u + 8 = 48
10 u = 48 - 8
10 u = 40 

1 u = 40 ÷ 10 = 4

Number of cookies that Reggie had at first
= 4 u
= 4 x 4
= 16

Number of cookies that Perry had at first
= 48 - 16
= 32

Number of cookies that Perry had more than Reggie at first
= 32 - 16
= 16

Answer(s): 16