Natalie made 84 more pandan croissants than durian croissants. After she gave away ³₅ of the pandan croissants and ¹₄ of the durian croissants, there were an equal number of pandan croissants and durian croissants left. How many pandan croissants did she give away?

	Pandan croissants	Durian croissants	Difference
Before	5x3 = 15 u	4x2 = 8 u	7 u
Change	- 3x3 = - 9 u	- 1x2 = - 2 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of pandan croissants left
= 1 - ³₅
= ²₅

Fraction of durian croissants left
= 1 - ¹₄
= ³₄

The number of pandan croissants and durian croissants in the end is the same. Make the numerators the same.  LCM of 3 and 2 is 6.

²₅ of pandan croissants = ³₄ of durian croissants
⁶₁₅ of pandan croissants = ⁶₈ of durian croissants

Number of more pandan croissants than durian croissants at first
= 15 u - 8 u
= 7 u

7 u = 84

1 u = 84 ÷ 7 = 12

Number of pandan croissants that Natalie gave away
= 15 u - 6 u
= 9 u
= 9 x 12
= 108

Answer(s): 108