Caden and Cole had 73 macarons altogether. After Caden ate ¹₃ of his macarons and Cole ate 7 macarons, the number of macarons Cole had left was four times the number of macarons Caden had left. How many more macarons did Cole have than Caden at first?

	Caden	Cole	Total
Before	3 u	8 u + 7	73
Change	- 1 u	- 7
After	2 u
Comparing Caden and Cole in the end	1x2 = 2 u	4x2 = 8 u

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

Total number of macarons at first
= 3 u + 8 u + 7
= 11 u + 7

11 u + 7 = 73
11 u = 73 - 7
11 u = 66 

1 u = 66 ÷ 11 = 6

Number of macarons that Caden had at first
= 3 u
= 3 x 6
= 18

Number of macarons that Cole had at first
= 73 - 18
= 55

Number of macarons that Cole had more than Caden at first
= 55 - 18
= 37

Answer(s): 37