Roshel made 88 more cream shortbreads than banana shortbreads. After she gave away ²₅ of the cream shortbreads and ¹₈ of the banana shortbreads, there were an equal number of cream shortbreads and banana shortbreads left. How many cream shortbreads did she give away?

	Cream shortbreads	Banana shortbreads	Difference
Before	5x7 = 35 u	8x3 = 24 u	11 u
Change	- 2x7 = - 14 u	- 1x3 = - 3 u
After	3x7 = 21 u	7x3 = 21 u

Fraction of cream shortbreads left
= 1 - ²₅
= ³₅

Fraction of banana shortbreads left
= 1 - ¹₈
= ⁷₈

The number of cream shortbreads and banana shortbreads in the end is the same. Make the numerators the same.  LCM of 7 and 3 is 21.

³₅ of cream shortbreads = ⁷₈ of banana shortbreads
²¹₃₅ of cream shortbreads = ²¹₂₄ of banana shortbreads

Number of more cream shortbreads than banana shortbreads at first
= 35 u - 24 u
= 11 u

11 u = 88

1 u = 88 ÷ 11 = 8

Number of cream shortbreads that Roshel gave away
= 35 u - 21 u
= 14 u
= 14 x 8
= 112

Answer(s): 112