Elijah and Archie had 68 scones altogether. After Elijah ate ¹₆ of his scones and Archie ate 6 scones, the number of scones Archie had left was five times the number of scones Elijah had left. How many more scones did Archie have than Elijah at first?

	Elijah	Archie	Total
Before	6 u	25 u + 6	68
Change	- 1 u	- 6
After	5 u
Comparing Elijah and Archie in the end	1x5 = 5 u	5x5 = 25 u

The number of scones that Elijah had in the end is the same. Make the number of scones that Elijah had in the end the same.  LCM of 5 and 1 is 5.

Total number of scones at first
= 6 u + 25 u + 6
= 31 u + 6

31 u + 6 = 68
31 u = 68 - 6
31 u = 62 

1 u = 62 ÷ 31 = 2

Number of scones that Elijah had at first
= 6 u
= 6 x 2
= 12

Number of scones that Archie had at first
= 68 - 12
= 56

Number of scones that Archie had more than Elijah at first
= 56 - 12
= 44

Answer(s): 44