Raeann made 35 more mocca croissants than apple croissants. After she gave away ³₇ of the mocca croissants and ¹₇ of the apple croissants, there were an equal number of mocca croissants and apple croissants left. How many mocca croissants did she give away?

	Mocca croissants	Apple croissants	Difference
Before	7x3 = 21 u	7x2 = 14 u	7 u
Change	- 3x3 = - 9 u	- 1x2 = - 2 u
After	4x3 = 12 u	6x2 = 12 u

Fraction of mocca croissants left
= 1 - ³₇
= ⁴₇

Fraction of apple croissants left
= 1 - ¹₇
= ⁶₇

The number of mocca croissants and apple croissants in the end is the same. Make the numerators the same.  LCM of 6 and 4 is 12.

⁴₇ of mocca croissants = ⁶₇ of apple croissants
¹²₂₁ of mocca croissants = ¹²₁₄ of apple croissants

Number of more mocca croissants than apple croissants at first
= 21 u - 14 u
= 7 u

7 u = 35

1 u = 35 ÷ 7 = 5

Number of mocca croissants that Raeann gave away
= 21 u - 12 u
= 9 u
= 9 x 5
= 45

Answer(s): 45