Xylia baked 96 macarons. ⁵₈ of the macarons were cherry macarons. The rest were butter cream macarons. She gave an equal number of cherry macarons and butter cream macarons away and had 2 times as many cherry macarons as butter cream macarons left. How many macarons did she give away?

	Cherry macarons	Butter cream macarons	Difference
Before	5x1 = 5 u	3x1 = 3 u	2x1 = 2 u
Change	- 1 u	- 1 u
After	2x2 = 4 u	1x2 = 2 u	1x2 = 2 u

Since Xylia gave away an equal number of cherry macarons and butter cream macarons, the difference in the number of cherry macarons and butter cream macarons remains unchanged.  Make the difference in the cherry macarons and butter cream macarons the same.  LCM of 2 and 1 is 2.

Total number of macarons at first
= 5 u + 3 u
= 8 u

8 u = 96

1 u = 96 ÷ 8 = 12

Number of macarons that Xylia gave away
= 1 u + 1 u
= 2 u
= 2 x 12 
= 24

Answer(s): 24