Will had an equal number of vanila scones, butter scones and blueberry scones. After he ate 17 vanila scones, some butter scones and blueberry scones, there were 43 scones left. The number of butter scones he ate was twice the number of blueberry scones he ate. The number of butter scones left was 13 more than the number of vanila scones left. How many vanila scones were there at first?

	Vanila scones	Butter scones	Blueberry scones	Total scones
Before	1 p + 17	1 p + 2 u + 13	1 p + 2 u + 13
Change	- 17	- 2 u	- 1 u
After	1 p	1 p + 13	1 p + 13 + 1 u	43

Number of butter scones and vanila scones was equal at first.

1 p + 2 u + 13 = 1 p + 17
2 u = 17 - 13
2 u = 4

1 u = 4 ÷ 2 = 2

Total number of scones in the end
= 1 p + 1 p + 13 + 1 p + 13 + 2
= 1 p + 1 p + 1 p + 13 + 13 + 2
= 3 p + 28

3 p + 28 = 43
3 p = 43 - 28
3 p = 15

1 p = 15 ÷ 3 = 5

Number of vanila scones at first
= 1 p + 17
= 5 + 17
= 22

Answer(s): 22