Ethan and Andy had 85 tarts altogether. After Ethan ate ¹₆ of his tarts and Andy ate 7 tarts, the number of tarts Andy had left was four times the number of tarts Ethan had left. How many more tarts did Andy have than Ethan at first?

	Ethan	Andy	Total
Before	6 u	20 u + 7	85
Change	- 1 u	- 7
After	5 u
Comparing Ethan and Andy in the end	1x5 = 5 u	4x5 = 20 u

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

Total number of tarts at first
= 6 u + 20 u + 7
= 26 u + 7

26 u + 7 = 85
26 u = 85 - 7
26 u = 78 

1 u = 78 ÷ 26 = 3

Number of tarts that Ethan had at first
= 6 u
= 6 x 3
= 18

Number of tarts that Andy had at first
= 85 - 18
= 67

Number of tarts that Andy had more than Ethan at first
= 67 - 18
= 49

Answer(s): 49