Abi made 35 more strawberry scones than apple scones. After she gave away ³₅ of the strawberry scones and ¹₄ of the apple scones, there were an equal number of strawberry scones and apple scones left. How many strawberry scones did she give away?

	Strawberry scones	Apple scones	Difference
Before	5x3 = 15 u	4x2 = 8 u	7 u
Change	- 3x3 = - 9 u	- 1x2 = - 2 u
After	2x3 = 6 u	3x2 = 6 u

Fraction of strawberry scones left
= 1 - ³₅
= ²₅

Fraction of apple scones left
= 1 - ¹₄
= ³₄

The number of strawberry scones and apple scones in the end is the same. Make the numerators the same.  LCM of 3 and 2 is 6.

²₅ of strawberry scones = ³₄ of apple scones
⁶₁₅ of strawberry scones = ⁶₈ of apple scones

Number of more strawberry scones than apple scones at first
= 15 u - 8 u
= 7 u

7 u = 35

1 u = 35 ÷ 7 = 5

Number of strawberry scones that Abi gave away
= 15 u - 6 u
= 9 u
= 9 x 5
= 45

Answer(s): 45