Xylia baked 128 croissants. ⁵₈ of the croissants were matcha croissants. The rest were vanilla croissants. She gave an equal number of matcha croissants and vanilla croissants away and had 5 times as many matcha croissants as vanilla croissants left. How many croissants did she give away?

	Matcha croissants	Vanilla croissants	Difference
Before	5x2 = 10 u	3x2 = 6 u	2x2 = 4 u
Change	- 5 u	- 5 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Xylia gave away an equal number of matcha croissants and vanilla croissants, the difference in the number of matcha croissants and vanilla croissants remains unchanged.  Make the difference in the matcha croissants and vanilla croissants the same.  LCM of 2 and 4 is 4.

Total number of croissants at first
= 10 u + 6 u
= 16 u

16 u = 128

1 u = 128 ÷ 16 = 8

Number of croissants that Xylia gave away
= 5 u + 5 u
= 10 u
= 10 x 8 
= 80

Answer(s): 80