Shannon made 228 more durian macarons than cream macarons. After she gave away ³₅ of the durian macarons and ¹₈ of the cream macarons, there were an equal number of durian macarons and cream macarons left. How many durian macarons did she give away?

	Durian macarons	Cream 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 durian macarons left
= 1 - ³₅
= ²₅

Fraction of cream macarons left
= 1 - ¹₈
= ⁷₈

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

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

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

19 u = 228

1 u = 228 ÷ 19 = 12

Number of durian macarons that Shannon gave away
= 35 u - 14 u
= 21 u
= 21 x 12
= 252

Answer(s): 252