Ivan and Owen had 82 muffins altogether. After Ivan ate ¹₆ of his muffins and Owen ate 4 muffins, the number of muffins Owen had left was four times the number of muffins Ivan had left. How many more muffins did Owen have than Ivan at first?

	Ivan	Owen	Total
Before	6 u	20 u + 4	82
Change	- 1 u	- 4
After	5 u
Comparing Ivan and Owen in the end	1x5 = 5 u	4x5 = 20 u

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

Total number of muffins at first
= 6 u + 20 u + 4
= 26 u + 4

26 u + 4 = 82
26 u = 82 - 4
26 u = 78 

1 u = 78 ÷ 26 = 3

Number of muffins that Ivan had at first
= 6 u
= 6 x 3
= 18

Number of muffins that Owen had at first
= 82 - 18
= 64

Number of muffins that Owen had more than Ivan at first
= 64 - 18
= 46

Answer(s): 46