Oscar and Seth had 98 macarons altogether. After Oscar ate ¹₃ of his macarons and Seth ate 7 macarons, the number of macarons Seth had left was five times the number of macarons Oscar had left. How many more macarons did Seth have than Oscar at first?

	Oscar	Seth	Total
Before	3 u	10 u + 7	98
Change	- 1 u	- 7
After	2 u
Comparing Oscar and Seth in the end	1x2 = 2 u	5x2 = 10 u

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

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

13 u + 7 = 98
13 u = 98 - 7
13 u = 91 

1 u = 91 ÷ 13 = 7

Number of macarons that Oscar had at first
= 3 u
= 3 x 7
= 21

Number of macarons that Seth had at first
= 98 - 21
= 77

Number of macarons that Seth had more than Oscar at first
= 77 - 21
= 56

Answer(s): 56