Andy and Brandon had 72 muffins altogether. After Andy ate ¹₃ of his muffins and Brandon ate 7 muffins, the number of muffins Brandon had left was five times the number of muffins Andy had left. How many more muffins did Brandon have than Andy at first?

	Andy	Brandon	Total
Before	3 u	10 u + 7	72
Change	- 1 u	- 7
After	2 u
Comparing Andy and Brandon in the end	1x2 = 2 u	5x2 = 10 u

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

Total number of muffins at first
= 3 u + 10 u + 7
= 13 u + 7

13 u + 7 = 72
13 u = 72 - 7
13 u = 65 

1 u = 65 ÷ 13 = 5

Number of muffins that Andy had at first
= 3 u
= 3 x 5
= 15

Number of muffins that Brandon had at first
= 72 - 15
= 57

Number of muffins that Brandon had more than Andy at first
= 57 - 15
= 42

Answer(s): 42