Victoria baked 80 macarons. ³₅ of the macarons were strawberry macarons. The rest were cherry macarons. She gave an equal number of strawberry macarons and cherry macarons away and had 3 times as many strawberry macarons as cherry macarons left. How many macarons did she give away?

	Strawberry macarons	Cherry 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 Victoria gave away an equal number of strawberry macarons and cherry macarons, the difference in the number of strawberry macarons and cherry macarons remains unchanged.  Make the difference in the strawberry macarons and cherry macarons the same.  LCM of 1 and 2 is 2.

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

10 u = 80

1 u = 80 ÷ 10 = 8

Number of macarons that Victoria gave away
= 3 u + 3 u
= 6 u
= 6 x 8 
= 48

Answer(s): 48