Pamela baked 180 macarons. ³₅ of the macarons were peach macarons. The rest were cherry macarons. She gave an equal number of peach macarons and cherry macarons away and had 5 times as many peach macarons as cherry macarons left. How many macarons did she give away?

	Peach macarons	Cherry macarons	Difference
Before	3x4 = 12 u	2x4 = 8 u	1x4 = 4 u
Change	- 7 u	- 7 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Pamela gave away an equal number of peach macarons and cherry macarons, the difference in the number of peach macarons and cherry macarons remains unchanged.  Make the difference in the peach macarons and cherry macarons the same.  LCM of 1 and 4 is 4.

Total number of macarons at first
= 12 u + 8 u
= 20 u

20 u = 180

1 u = 180 ÷ 20 = 9

Number of macarons that Pamela gave away
= 7 u + 7 u
= 14 u
= 14 x 9 
= 126

Answer(s): 126