Penelope baked 100 macarons. ³₅ of the macarons were cherry macarons. The rest were vanilla macarons. She gave an equal number of cherry macarons and vanilla macarons away and had 3 times as many cherry macarons as vanilla macarons left. How many macarons did she give away?

	Cherry macarons	Vanilla 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 Penelope gave away an equal number of cherry macarons and vanilla macarons, the difference in the number of cherry macarons and vanilla macarons remains unchanged.  Make the difference in the cherry macarons and vanilla macarons the same.  LCM of 1 and 2 is 2.

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

10 u = 100

1 u = 100 ÷ 10 = 10

Number of macarons that Penelope gave away
= 3 u + 3 u
= 6 u
= 6 x 10 
= 60

Answer(s): 60