Emily baked 165 croissants. ³₅ of the croissants were matcha croissants. The rest were butter cream croissants. She gave an equal number of matcha croissants and butter cream croissants away and had 4 times as many matcha croissants as butter cream croissants left. How many croissants did she give away?

	Matcha croissants	Butter cream croissants	Difference
Before	3x3 = 9 u	2x3 = 6 u	1x3 = 3 u
Change	- 5 u	- 5 u
After	4x1 = 4 u	1x1 = 1 u	3x1 = 3 u

Since Emily gave away an equal number of matcha croissants and butter cream croissants, the difference in the number of matcha croissants and butter cream croissants remains unchanged.  Make the difference in the matcha croissants and butter cream croissants the same.  LCM of 1 and 3 is 3.

Total number of croissants at first
= 9 u + 6 u
= 15 u

15 u = 165

1 u = 165 ÷ 15 = 11

Number of croissants that Emily gave away
= 5 u + 5 u
= 10 u
= 10 x 11 
= 110

Answer(s): 110