Ryan had an equal number of strawberry scones, butter scones and vanila scones. After he ate 28 strawberry scones, some butter scones and vanila scones, there were 61 scones left. The number of butter scones he ate was thrice the number of vanila scones he ate. The number of butter scones left was 13 more than the number of strawberry scones left. How many strawberry scones were there at first?

	Strawberry scones	Butter scones	Vanila scones	Total scones
Before	1 p + 28	1 p + 3 u + 13	1 p + 3 u + 13
Change	- 28	- 3 u	- 1 u
After	1 p	1 p + 13	1 p + 13 + 1 u	61

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

1 p + 3 u + 13 = 1 p + 28
3 u = 28 - 13
3 u = 15

1 u = 15 ÷ 3 = 5

Total number of scones in the end
= 1 p + 1 p + 13 + 1 p + 13 + 5
= 1 p + 1 p + 1 p + 13 + 13 + 5
= 3 p + 31

3 p + 31 = 61
3 p = 61 - 31
3 p = 30

1 p = 30 ÷ 3 = 10

Number of strawberry scones at first
= 1 p + 28
= 10 + 28
= 38

Answer(s): 38