Dana made 209 more banana croissants than cream croissants. After she gave away ³₅ of the banana croissants and ¹₈ of the cream croissants, there were an equal number of banana croissants and cream croissants left. How many banana croissants did she give away?

	Banana croissants	Cream croissants	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 banana croissants left
= 1 - ³₅
= ²₅

Fraction of cream croissants left
= 1 - ¹₈
= ⁷₈

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

²₅ of banana croissants = ⁷₈ of cream croissants
¹⁴₃₅ of banana croissants = ¹⁴₁₆ of cream croissants

Number of more banana croissants than cream croissants at first
= 35 u - 16 u
= 19 u

19 u = 209

1 u = 209 ÷ 19 = 11

Number of banana croissants that Dana gave away
= 35 u - 14 u
= 21 u
= 21 x 11
= 231

Answer(s): 231