Vincent and Perry had 94 muffins altogether. After Vincent ate ¹₃ of his muffins and Perry ate 3 muffins, the number of muffins Perry had left was five times the number of muffins Vincent had left. How many more muffins did Perry have than Vincent at first?

	Vincent	Perry	Total
Before	3 u	10 u + 3	94
Change	- 1 u	- 3
After	2 u
Comparing Vincent and Perry in the end	1x2 = 2 u	5x2 = 10 u

The number of muffins that Vincent had in the end is the same. Make the number of muffins that Vincent had in the end the same.  LCM of 2 and 1 is 2.

Total number of muffins at first
= 3 u + 10 u + 3
= 13 u + 3

13 u + 3 = 94
13 u = 94 - 3
13 u = 91 

1 u = 91 ÷ 13 = 7

Number of muffins that Vincent had at first
= 3 u
= 3 x 7
= 21

Number of muffins that Perry had at first
= 94 - 21
= 73

Number of muffins that Perry had more than Vincent at first
= 73 - 21
= 52

Answer(s): 52