Yoko made 99 more cream macarons than blueberry macarons. After she gave away ²₇ 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	7x7 = 49 u	8x5 = 40 u	9 u
Change	- 2x7 = - 14 u	- 1x5 = - 5 u
After	5x7 = 35 u	7x5 = 35 u

Fraction of cream macarons left
= 1 - ²₇
= ⁵₇

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 5 is 35.

⁵₇ of cream macarons = ⁷₈ of blueberry macarons
³⁵₄₉ of cream macarons = ³⁵₄₀ of blueberry macarons

Number of more cream macarons than blueberry macarons at first
= 49 u - 40 u
= 9 u

9 u = 99

1 u = 99 ÷ 9 = 11

Number of cream macarons that Yoko gave away
= 49 u - 35 u
= 14 u
= 14 x 11
= 154

Answer(s): 154