Tiffany made 132 more durian macarons than apple macarons. After she gave away ²₅ of the durian macarons and ¹₈ of the apple macarons, there were an equal number of durian macarons and apple macarons left. How many durian macarons did she give away?

	Durian macarons	Apple macarons	Difference
Before	5x7 = 35 u	8x3 = 24 u	11 u
Change	- 2x7 = - 14 u	- 1x3 = - 3 u
After	3x7 = 21 u	7x3 = 21 u

Fraction of durian macarons left
= 1 - ²₅
= ³₅

Fraction of apple macarons left
= 1 - ¹₈
= ⁷₈

The number of durian macarons and apple macarons in the end is the same. Make the numerators the same.  LCM of 7 and 3 is 21.

³₅ of durian macarons = ⁷₈ of apple macarons
²¹₃₅ of durian macarons = ²¹₂₄ of apple macarons

Number of more durian macarons than apple macarons at first
= 35 u - 24 u
= 11 u

11 u = 132

1 u = 132 ÷ 11 = 12

Number of durian macarons that Tiffany gave away
= 35 u - 21 u
= 14 u
= 14 x 12
= 168

Answer(s): 168