Zoe baked 32 macarons. ⁵₈ of the macarons were butter cream macarons. The rest were matcha macarons. She gave an equal number of butter cream macarons and matcha macarons away and had 5 times as many butter cream macarons as matcha macarons left. How many macarons did she give away?

	Butter cream macarons	Matcha macarons	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 Zoe gave away an equal number of butter cream macarons and matcha macarons, the difference in the number of butter cream macarons and matcha macarons remains unchanged.  Make the difference in the butter cream macarons and matcha macarons the same.  LCM of 2 and 4 is 4.

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

16 u = 32

1 u = 32 ÷ 16 = 2

Number of macarons that Zoe gave away
= 5 u + 5 u
= 10 u
= 10 x 2 
= 20

Answer(s): 20