Diana baked 60 macarons. ³₅ of the macarons were vanilla macarons. The rest were butter cream macarons. She gave an equal number of vanilla macarons and butter cream macarons away and had 3 times as many vanilla macarons as butter cream macarons left. How many macarons did she give away?

	Vanilla macarons	Butter cream macarons	Difference
Before	3x2 = 6 u	2x2 = 4 u	1x2 = 2 u
Change	- 3 u	- 3 u
After	3x1 = 3 u	1x1 = 1 u	2x1 = 2 u

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

Total number of macarons at first
= 6 u + 4 u
= 10 u

10 u = 60

1 u = 60 ÷ 10 = 6

Number of macarons that Diana gave away
= 3 u + 3 u
= 6 u
= 6 x 6 
= 36

Answer(s): 36