Jack had an equal number of chocolate scones, blueberry scones and butter scones. After he ate 54 chocolate scones, some blueberry scones and butter scones, there were 91 scones left. The number of blueberry scones he ate was thrice the number of butter scones he ate. The number of blueberry scones left was 24 more than the number of chocolate scones left. How many chocolate scones were there at first?

	Chocolate scones	Blueberry scones	Butter scones	Total scones
Before	1 p + 54	1 p + 3 u + 24	1 p + 3 u + 24
Change	- 54	- 3 u	- 1 u
After	1 p	1 p + 24	1 p + 24 + 1 u	91

Number of blueberry scones and chocolate scones was equal at first.

1 p + 3 u + 24 = 1 p + 54
3 u = 54 - 24
3 u = 30

1 u = 30 ÷ 3 = 10

Total number of scones in the end
= 1 p + 1 p + 24 + 1 p + 24 + 10
= 1 p + 1 p + 1 p + 24 + 24 + 10
= 3 p + 58

3 p + 58 = 91
3 p = 91 - 58
3 p = 33

1 p = 33 ÷ 3 = 11

Number of chocolate scones at first
= 1 p + 54
= 11 + 54
= 65

Answer(s): 65