Xandra baked 95 biscuits and scones. She burnt 7 pieces and counted the remaining pieces. ¹₄ of the scones and ⁵₆ of the biscuits were apple flavoured. There were equal number of scones and biscuits that were strawberry flavoured.

1. How many unburnt strawberry biscuits were there?
2. What fraction of the unburnt pastries were apple biscuits?

(a)
Number of pastries that was not burnt
= 95 - 7
= 88

Fraction of the scones that was strawberry flavoured
= 1 - ¹₄ 
= ³₄ 

Fraction of the biscuits that was strawberry flavoured
= 1 - ⁵₆ 
= ¹₆ 

The number of strawberry scones and strawberry biscuits was the same. Make the numerators the same. 
34 Scones = 1x36x3 Biscuits 
34 Scones = 318 Biscuits 

Number of unburnt scones = 4 u
Number of unburnt biscuits = 18 u

Total number of unburnt pastries
= 4 u + 18 u
= 22 u

22 u = 88

1 u = 88 ÷ 22 = 4

Number of unburnt strawberry biscuits
= 3 u
= 3 x 4
= 12

(b)
Number of unburnt apple biscuits
= 18 u - 3 u
= 15 u

^{Unburnt apple biscuits}_{Total unburnt pastries}
= ¹⁵_{4 + 18}
= ¹⁵₂₂

Answer(s): (a) 12; (b) ¹⁵₂₂