Peter had an equal number of cream muffins, chocolate muffins and strawberry muffins. After he ate 29 cream muffins, some chocolate muffins and strawberry muffins, there were 45 muffins left. The number of chocolate muffins he ate was four times the number of strawberry muffins he ate. The number of chocolate muffins left was 13 more than the number of cream muffins left. How many cream muffins were there at first?

	Cream muffins	Chocolate muffins	Strawberry muffins	Total muffins
Before	1 p + 29	1 p + 4 u + 13	1 p + 4 u + 13
Change	- 29	- 4 u	- 1 u
After	1 p	1 p + 13	1 p + 13 + 1 u	45

Number of chocolate muffins and cream muffins was equal at first.

1 p + 4 u + 13 = 1 p + 29
4 u = 29 - 13
4 u = 16

1 u = 16 ÷ 4 = 4

Total number of muffins in the end
= 1 p + 1 p + 13 + 1 p + 13 + 4
= 1 p + 1 p + 1 p + 13 + 13 + 4
= 3 p + 30

3 p + 30 = 45
3 p = 45 - 30
3 p = 15

1 p = 15 ÷ 3 = 5

Number of cream muffins at first
= 1 p + 29
= 5 + 29
= 34

Answer(s): 34