Irene made 26 more cream croissants than coffee croissants. After she gave away ⁴₇ of the cream croissants and ¹₅ of the coffee croissants, there were an equal number of cream croissants and coffee croissants left. How many cream croissants did she give away?

	Cream croissants	Coffee croissants	Difference
Before	7x4 = 28 u	5x3 = 15 u	13 u
Change	- 4x4 = - 16 u	- 1x3 = - 3 u
After	3x4 = 12 u	4x3 = 12 u

Fraction of cream croissants left
= 1 - ⁴₇
= ³₇

Fraction of coffee croissants left
= 1 - ¹₅
= ⁴₅

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

³₇ of cream croissants = ⁴₅ of coffee croissants
¹²₂₈ of cream croissants = ¹²₁₅ of coffee croissants

Number of more cream croissants than coffee croissants at first
= 28 u - 15 u
= 13 u

13 u = 26

1 u = 26 ÷ 13 = 2

Number of cream croissants that Irene gave away
= 28 u - 12 u
= 16 u
= 16 x 2
= 32

Answer(s): 32