Usha made 114 more mocca croissants than apple croissants. After she gave away ³₅ of the mocca croissants and ¹₈ 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	5x7 = 35 u	8x2 = 16 u	19 u
Change	- 3x7 = - 21 u	- 1x2 = - 2 u
After	2x7 = 14 u	7x2 = 14 u

Fraction of mocca croissants left
= 1 - ³₅
= ²₅

Fraction of apple croissants left
= 1 - ¹₈
= ⁷₈

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

²₅ of mocca croissants = ⁷₈ of apple croissants
¹⁴₃₅ of mocca croissants = ¹⁴₁₆ of apple croissants

Number of more mocca croissants than apple croissants at first
= 35 u - 16 u
= 19 u

19 u = 114

1 u = 114 ÷ 19 = 6

Number of mocca croissants that Usha gave away
= 35 u - 14 u
= 21 u
= 21 x 6
= 126

Answer(s): 126