Daniel had an equal number of blueberry muffins, matcha muffins and strawberry muffins. After he ate 29 blueberry muffins, some matcha muffins and strawberry muffins, there were 52 muffins left. The number of matcha muffins he ate was twice the number of strawberry muffins he ate. The number of matcha muffins left was 19 more than the number of blueberry muffins left. How many blueberry muffins were there at first?

	Blueberry muffins	Matcha muffins	Strawberry muffins	Total muffins
Before	1 p + 29	1 p + 2 u + 19	1 p + 2 u + 19
Change	- 29	- 2 u	- 1 u
After	1 p	1 p + 19	1 p + 19 + 1 u	52

Number of matcha muffins and blueberry muffins was equal at first.

1 p + 2 u + 19 = 1 p + 29
2 u = 29 - 19
2 u = 10

1 u = 10 ÷ 2 = 5

Total number of muffins in the end
= 1 p + 1 p + 19 + 1 p + 19 + 5
= 1 p + 1 p + 1 p + 19 + 19 + 5
= 3 p + 43

3 p + 43 = 52
3 p = 52 - 43
3 p = 9

1 p = 9 ÷ 3 = 3

Number of blueberry muffins at first
= 1 p + 29
= 3 + 29
= 32

Answer(s): 32