Jade baked 110 macarons. ³₅ of the macarons were matcha macarons. The rest were mango macarons. She gave an equal number of matcha macarons and mango macarons away and had 3 times as many matcha macarons as mango macarons left. How many macarons did she give away?

	Matcha macarons	Mango 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 Jade gave away an equal number of matcha macarons and mango macarons, the difference in the number of matcha macarons and mango macarons remains unchanged.  Make the difference in the matcha macarons and mango macarons the same.  LCM of 1 and 2 is 2.

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

10 u = 110

1 u = 110 ÷ 10 = 11

Number of macarons that Jade gave away
= 3 u + 3 u
= 6 u
= 6 x 11 
= 66

Answer(s): 66