Fanny baked 296 tarts and scones. She burnt 8 pieces and counted the remaining pieces. ¹₆ of the scones and ⁵₆ of the tarts were apricot flavoured. There were equal number of scones and tarts that were blueberry flavoured.

1. How many unburnt blueberry tarts were there?
2. What fraction of the unburnt pastries were apricot tarts?

(a)
Number of pastries that was not burnt
= 296 - 8
= 288

Fraction of the scones that was blueberry flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the tarts that was blueberry flavoured
= 1 - ⁵₆ 
= ¹₆ 

The number of blueberry scones and blueberry tarts was the same. Make the numerators the same. 
56 Scones = 1x56x5 Tarts 
56 Scones = 530 Tarts 

Number of unburnt scones = 6 u
Number of unburnt tarts = 30 u

Total number of unburnt pastries
= 6 u + 30 u
= 36 u

36 u = 288

1 u = 288 ÷ 36 = 8

Number of unburnt blueberry tarts
= 5 u
= 5 x 8
= 40

(b)
Number of unburnt apricot tarts
= 30 u - 5 u
= 25 u

^{Unburnt apricot tarts}_{Total unburnt pastries}
= ²⁵_{6 + 30}
= ²⁵₃₆

Answer(s): (a) 40; (b) ²⁵₃₆