Olivia made 171 more cream macarons than blueberry macarons. After she gave away ³₅ of the cream macarons and ¹₈ of the blueberry macarons, there were an equal number of cream macarons and blueberry macarons left. How many cream macarons did she give away?

	Cream macarons	Blueberry macarons	Difference
Before	5x7 = 35 u	8x2 = 16 u	19 u
Change	- 3x7 = - 21 u	- 1x2 = - 2 u
After	2x7 = 14 u	7x2 = 14 u

Fraction of cream macarons left
= 1 - ³₅
= ²₅

Fraction of blueberry macarons left
= 1 - ¹₈
= ⁷₈

The number of cream macarons and blueberry macarons in the end is the same. Make the numerators the same.  LCM of 7 and 2 is 14.

²₅ of cream macarons = ⁷₈ of blueberry macarons
¹⁴₃₅ of cream macarons = ¹⁴₁₆ of blueberry macarons

Number of more cream macarons than blueberry macarons at first
= 35 u - 16 u
= 19 u

19 u = 171

1 u = 171 ÷ 19 = 9

Number of cream macarons that Olivia gave away
= 35 u - 14 u
= 21 u
= 21 x 9
= 189

Answer(s): 189