Oscar and Brandon had 56 cupcakes altogether. After Oscar ate ¹₆ of his cupcakes and Brandon ate 8 cupcakes, the number of cupcakes Brandon had left was twice the number of cupcakes Oscar had left. How many more cupcakes did Brandon have than Oscar at first?

	Oscar	Brandon	Total
Before	6 u	10 u + 8	56
Change	- 1 u	- 8
After	5 u
Comparing Oscar and Brandon in the end	1x5 = 5 u	2x5 = 10 u

The number of cupcakes that Oscar had in the end is the same. Make the number of cupcakes that Oscar had in the end the same.  LCM of 5 and 1 is 5.

Total number of cupcakes at first
= 6 u + 10 u + 8
= 16 u + 8

16 u + 8 = 56
16 u = 56 - 8
16 u = 48 

1 u = 48 ÷ 16 = 3

Number of cupcakes that Oscar had at first
= 6 u
= 6 x 3
= 18

Number of cupcakes that Brandon had at first
= 56 - 18
= 38

Number of cupcakes that Brandon had more than Oscar at first
= 38 - 18
= 20

Answer(s): 20