Jeremy and Archie had 86 tarts altogether. After Jeremy ate ¹₅ of his tarts and Archie ate 2 tarts, the number of tarts Archie had left was four times the number of tarts Jeremy had left. How many more tarts did Archie have than Jeremy at first?

	Jeremy	Archie	Total
Before	5 u	16 u + 2	86
Change	- 1 u	- 2
After	4 u
Comparing Jeremy and Archie in the end	1x4 = 4 u	4x4 = 16 u

The number of tarts that Jeremy had in the end is the same. Make the number of tarts that Jeremy had in the end the same.  LCM of 4 and 1 is 4.

Total number of tarts at first
= 5 u + 16 u + 2
= 21 u + 2

21 u + 2 = 86
21 u = 86 - 2
21 u = 84 

1 u = 84 ÷ 21 = 4

Number of tarts that Jeremy had at first
= 5 u
= 5 x 4
= 20

Number of tarts that Archie had at first
= 86 - 20
= 66

Number of tarts that Archie had more than Jeremy at first
= 66 - 20
= 46

Answer(s): 46