Diana baked 193 puffs and doughnuts. She burnt 17 pieces and counted the remaining pieces. ¹₄ of the doughnuts and ³₄ of the puffs were banana flavoured. There were equal number of doughnuts and puffs that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 193 - 17
= 176

Fraction of the doughnuts that was cherry flavoured
= 1 - ¹₄ 
= ³₄ 

Fraction of the puffs that was cherry flavoured
= 1 - ³₄ 
= ¹₄ 

The number of cherry doughnuts and cherry puffs was the same. Make the numerators the same. 
34 Doughnuts = 1x34x3 Puffs 
34 Doughnuts = 312 Puffs 

Number of unburnt doughnuts = 4 u
Number of unburnt puffs = 12 u

Total number of unburnt pastries
= 4 u + 12 u
= 16 u

16 u = 176

1 u = 176 ÷ 16 = 11

Number of unburnt cherry puffs
= 3 u
= 3 x 11
= 33

(b)
Number of unburnt banana puffs
= 12 u - 3 u
= 9 u

^{Unburnt banana puffs}_{Total unburnt pastries}
= ⁹_{4 + 12}
= ⁹₁₆

Answer(s): (a) 33; (b) ⁹₁₆