Linda baked 301 puffs and tarts. She burnt 5 pieces and counted the remaining pieces. ¹₅ of the tarts and ⁷₈ of the puffs were blueberry flavoured. There were equal number of tarts and puffs that were apricot flavoured.

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

(a)
Number of pastries that was not burnt
= 301 - 5
= 296

Fraction of the tarts that was apricot flavoured
= 1 - ¹₅ 
= ⁴₅ 

Fraction of the puffs that was apricot flavoured
= 1 - ⁷₈ 
= ¹₈ 

The number of apricot tarts and apricot puffs was the same. Make the numerators the same. 
45 Tarts = 1x48x4 Puffs 
45 Tarts = 432 Puffs 

Number of unburnt tarts = 5 u
Number of unburnt puffs = 32 u

Total number of unburnt pastries
= 5 u + 32 u
= 37 u

37 u = 296

1 u = 296 ÷ 37 = 8

Number of unburnt apricot puffs
= 4 u
= 4 x 8
= 32

(b)
Number of unburnt blueberry puffs
= 32 u - 4 u
= 28 u

^{Unburnt blueberry puffs}_{Total unburnt pastries}
= ²⁸_{5 + 32}
= ²⁸₃₇

Answer(s): (a) 32; (b) ²⁸₃₇