Tammy baked 176 macarons. ⁵₈ of the macarons were mango macarons. The rest were butter cream macarons. She gave an equal number of mango macarons and butter cream macarons away and had 5 times as many mango macarons as butter cream macarons left. How many macarons did she give away?

	Mango macarons	Butter cream macarons	Difference
Before	5x2 = 10 u	3x2 = 6 u	2x2 = 4 u
Change	- 5 u	- 5 u
After	5x1 = 5 u	1x1 = 1 u	4x1 = 4 u

Since Tammy gave away an equal number of mango macarons and butter cream macarons, the difference in the number of mango macarons and butter cream macarons remains unchanged.  Make the difference in the mango macarons and butter cream macarons the same.  LCM of 2 and 4 is 4.

Total number of macarons at first
= 10 u + 6 u
= 16 u

16 u = 176

1 u = 176 ÷ 16 = 11

Number of macarons that Tammy gave away
= 5 u + 5 u
= 10 u
= 10 x 11 
= 110

Answer(s): 110