Abi made 21 more apple scones than cream scones. After she gave away ²₅ of the apple scones and ¹₆ of the cream scones, there were an equal number of apple scones and cream scones left. How many apple scones did she give away?

	Apple scones	Cream scones	Difference
Before	5x5 = 25 u	6x3 = 18 u	7 u
Change	- 2x5 = - 10 u	- 1x3 = - 3 u
After	3x5 = 15 u	5x3 = 15 u

Fraction of apple scones left
= 1 - ²₅
= ³₅

Fraction of cream scones left
= 1 - ¹₆
= ⁵₆

The number of apple scones and cream scones in the end is the same. Make the numerators the same.  LCM of 5 and 3 is 15.

³₅ of apple scones = ⁵₆ of cream scones
¹⁵₂₅ of apple scones = ¹⁵₁₈ of cream scones

Number of more apple scones than cream scones at first
= 25 u - 18 u
= 7 u

7 u = 21

1 u = 21 ÷ 7 = 3

Number of apple scones that Abi gave away
= 25 u - 15 u
= 10 u
= 10 x 3
= 30

Answer(s): 30