Ian had an equal number of chocolate scones, matcha scones and cream scones. After he ate 32 chocolate scones, some matcha scones and cream scones, there were 58 scones left. The number of matcha scones he ate was four times the number of cream scones he ate. The number of matcha scones left was 20 more than the number of chocolate scones left. How many chocolate scones were there at first?

	Chocolate scones	Matcha scones	Cream scones	Total scones
Before	1 p + 32	1 p + 4 u + 20	1 p + 4 u + 20
Change	- 32	- 4 u	- 1 u
After	1 p	1 p + 20	1 p + 20 + 1 u	58

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

1 p + 4 u + 20 = 1 p + 32
4 u = 32 - 20
4 u = 12

1 u = 12 ÷ 4 = 3

Total number of scones in the end
= 1 p + 1 p + 20 + 1 p + 20 + 3
= 1 p + 1 p + 1 p + 20 + 20 + 3
= 3 p + 43

3 p + 43 = 58
3 p = 58 - 43
3 p = 15

1 p = 15 ÷ 3 = 5

Number of chocolate scones at first
= 1 p + 32
= 5 + 32
= 37

Answer(s): 37