Betty made 46 more banana croissants than pandan croissants. After she gave away ⁵₇ of the banana croissants and ¹₆ of the pandan croissants, there were an equal number of banana croissants and pandan croissants left. How many banana croissants did she give away?

	Banana croissants	Pandan croissants	Difference
Before	7x5 = 35 u	6x2 = 12 u	23 u
Change	- 5x5 = - 25 u	- 1x2 = - 2 u
After	2x5 = 10 u	5x2 = 10 u

Fraction of banana croissants left
= 1 - ⁵₇
= ²₇

Fraction of pandan croissants left
= 1 - ¹₆
= ⁵₆

The number of banana croissants and pandan croissants in the end is the same. Make the numerators the same.  LCM of 5 and 2 is 10.

²₇ of banana croissants = ⁵₆ of pandan croissants
¹⁰₃₅ of banana croissants = ¹⁰₁₂ of pandan croissants

Number of more banana croissants than pandan croissants at first
= 35 u - 12 u
= 23 u

23 u = 46

1 u = 46 ÷ 23 = 2

Number of banana croissants that Betty gave away
= 35 u - 10 u
= 25 u
= 25 x 2
= 50

Answer(s): 50