Anna baked 150 macarons. ³₅ of the macarons were matcha macarons. The rest were cherry macarons. She gave an equal number of matcha macarons and cherry macarons away and had 4 times as many matcha macarons as cherry macarons left. How many macarons did she give away?

	Matcha macarons	Cherry macarons	Difference
Before	3x3 = 9 u	2x3 = 6 u	1x3 = 3 u
Change	- 5 u	- 5 u
After	4x1 = 4 u	1x1 = 1 u	3x1 = 3 u

Since Anna gave away an equal number of matcha macarons and cherry macarons, the difference in the number of matcha macarons and cherry macarons remains unchanged.  Make the difference in the matcha macarons and cherry macarons the same.  LCM of 1 and 3 is 3.

Total number of macarons at first
= 9 u + 6 u
= 15 u

15 u = 150

1 u = 150 ÷ 15 = 10

Number of macarons that Anna gave away
= 5 u + 5 u
= 10 u
= 10 x 10 
= 100

Answer(s): 100