Glen and Liam had 67 shortbreads altogether. After Glen ate ¹₅ of his shortbreads and Liam ate 4 shortbreads, the number of shortbreads Liam had left was four times the number of shortbreads Glen had left. How many more shortbreads did Liam have than Glen at first?

	Glen	Liam	Total
Before	5 u	16 u + 4	67
Change	- 1 u	- 4
After	4 u
Comparing Glen and Liam in the end	1x4 = 4 u	4x4 = 16 u

The number of shortbreads that Glen had in the end is the same. Make the number of shortbreads that Glen had in the end the same.  LCM of 4 and 1 is 4.

Total number of shortbreads at first
= 5 u + 16 u + 4
= 21 u + 4

21 u + 4 = 67
21 u = 67 - 4
21 u = 63 

1 u = 63 ÷ 21 = 3

Number of shortbreads that Glen had at first
= 5 u
= 5 x 3
= 15

Number of shortbreads that Liam had at first
= 67 - 15
= 52

Number of shortbreads that Liam had more than Glen at first
= 52 - 15
= 37

Answer(s): 37