Winnie made 6 more banana tarts than cream tarts. After she gave away ²₇ of the banana tarts and ¹₅ of the cream tarts, there were an equal number of banana tarts and cream tarts left. How many banana tarts did she give away?

	Banana tarts	Cream tarts	Difference
Before	7x4 = 28 u	5x5 = 25 u	3 u
Change	- 2x4 = - 8 u	- 1x5 = - 5 u
After	5x4 = 20 u	4x5 = 20 u

Fraction of banana tarts left
= 1 - ²₇
= ⁵₇

Fraction of cream tarts left
= 1 - ¹₅
= ⁴₅

The number of banana tarts and cream tarts in the end is the same. Make the numerators the same.  LCM of 4 and 5 is 20.

⁵₇ of banana tarts = ⁴₅ of cream tarts
²⁰₂₈ of banana tarts = ²⁰₂₅ of cream tarts

Number of more banana tarts than cream tarts at first
= 28 u - 25 u
= 3 u

3 u = 6

1 u = 6 ÷ 3 = 2

Number of banana tarts that Winnie gave away
= 28 u - 20 u
= 8 u
= 8 x 2
= 16

Answer(s): 16