Shannon baked 278 puffs and tarts. She burnt 3 pieces and counted the remaining pieces. ¹₅ of the tarts and ⁴₅ of the puffs were chocolate chip flavoured. There were equal number of tarts and puffs that were banana flavoured.

1. How many unburnt banana puffs were there?
2. What fraction of the unburnt pastries were chocolate chip puffs?

(a)
Number of pastries that was not burnt
= 278 - 3
= 275

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

Fraction of the puffs that was banana flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of banana tarts and banana puffs was the same. Make the numerators the same. 
45 Tarts = 1x45x4 Puffs 
45 Tarts = 420 Puffs 

Number of unburnt tarts = 5 u
Number of unburnt puffs = 20 u

Total number of unburnt pastries
= 5 u + 20 u
= 25 u

25 u = 275

1 u = 275 ÷ 25 = 11

Number of unburnt banana puffs
= 4 u
= 4 x 11
= 44

(b)
Number of unburnt chocolate chip puffs
= 20 u - 4 u
= 16 u

^{Unburnt chocolate chip puffs}_{Total unburnt pastries}
= ¹⁶_{5 + 20}
= ¹⁶₂₅

Answer(s): (a) 44; (b) ¹⁶₂₅