Reggie had an equal number of strawberry cupcakes, vanila cupcakes and cream cupcakes. After he ate 67 strawberry cupcakes, some vanila cupcakes and cream cupcakes, there were 74 cupcakes left. The number of vanila cupcakes he ate was four times the number of cream cupcakes he ate. The number of vanila cupcakes left was 19 more than the number of strawberry cupcakes left. How many strawberry cupcakes were there at first?

	Strawberry cupcakes	Vanila cupcakes	Cream cupcakes	Total cupcakes
Before	1 p + 67	1 p + 4 u + 19	1 p + 4 u + 19
Change	- 67	- 4 u	- 1 u
After	1 p	1 p + 19	1 p + 19 + 1 u	74

Number of vanila cupcakes and strawberry cupcakes was equal at first.

1 p + 4 u + 19 = 1 p + 67
4 u = 67 - 19
4 u = 48

1 u = 48 ÷ 4 = 12

Total number of cupcakes in the end
= 1 p + 1 p + 19 + 1 p + 19 + 12
= 1 p + 1 p + 1 p + 19 + 19 + 12
= 3 p + 50

3 p + 50 = 74
3 p = 74 - 50
3 p = 24

1 p = 24 ÷ 3 = 8

Number of strawberry cupcakes at first
= 1 p + 67
= 8 + 67
= 75

Answer(s): 75