Gabby made 35 more banana shortbreads than cream shortbreads. After she gave away ⁴₇ of the banana shortbreads and ¹₃ of the cream shortbreads, there were an equal number of banana shortbreads and cream shortbreads left. How many banana shortbreads did she give away?

	Banana shortbreads	Cream shortbreads	Difference
Before	7x2 = 14 u	3x3 = 9 u	5 u
Change	- 4x2 = - 8 u	- 1x3 = - 3 u
After	3x2 = 6 u	2x3 = 6 u

Fraction of banana shortbreads left
= 1 - ⁴₇
= ³₇

Fraction of cream shortbreads left
= 1 - ¹₃
= ²₃

The number of banana shortbreads and cream shortbreads in the end is the same. Make the numerators the same.  LCM of 2 and 3 is 6.

³₇ of banana shortbreads = ²₃ of cream shortbreads
⁶₁₄ of banana shortbreads = ⁶₉ of cream shortbreads

Number of more banana shortbreads than cream shortbreads at first
= 14 u - 9 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

Number of banana shortbreads that Gabby gave away
= 14 u - 6 u
= 8 u
= 8 x 7
= 56

Answer(s): 56