Gem made 50 more durian croissants than blueberry croissants. After she gave away ³₇ of the durian croissants and ¹₄ of the blueberry croissants, there were an equal number of durian croissants and blueberry croissants left. How many durian croissants did she give away?

	Durian croissants	Blueberry croissants	Difference
Before	7x3 = 21 u	4x4 = 16 u	5 u
Change	- 3x3 = - 9 u	- 1x4 = - 4 u
After	4x3 = 12 u	3x4 = 12 u

Fraction of durian croissants left
= 1 - ³₇
= ⁴₇

Fraction of blueberry croissants left
= 1 - ¹₄
= ³₄

The number of durian croissants and blueberry croissants in the end is the same. Make the numerators the same.  LCM of 3 and 4 is 12.

⁴₇ of durian croissants = ³₄ of blueberry croissants
¹²₂₁ of durian croissants = ¹²₁₆ of blueberry croissants

Number of more durian croissants than blueberry croissants at first
= 21 u - 16 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Number of durian croissants that Gem gave away
= 21 u - 12 u
= 9 u
= 9 x 10
= 90

Answer(s): 90