Usha baked 219 puffs and doughnuts. She burnt 19 pieces and counted the remaining pieces. ¹₄ of the doughnuts and ⁶₇ of the puffs were vanilla flavoured. There were equal number of doughnuts and puffs that were strawberry flavoured.

1. How many unburnt strawberry puffs were there?
2. What fraction of the unburnt pastries were vanilla puffs?

(a)
Number of pastries that was not burnt
= 219 - 19
= 200

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

Fraction of the puffs that was strawberry flavoured
= 1 - ⁶₇ 
= ¹₇ 

The number of strawberry doughnuts and strawberry puffs was the same. Make the numerators the same. 
34 Doughnuts = 1x37x3 Puffs 
34 Doughnuts = 321 Puffs 

Number of unburnt doughnuts = 4 u
Number of unburnt puffs = 21 u

Total number of unburnt pastries
= 4 u + 21 u
= 25 u

25 u = 200

1 u = 200 ÷ 25 = 8

Number of unburnt strawberry puffs
= 3 u
= 3 x 8
= 24

(b)
Number of unburnt vanilla puffs
= 21 u - 3 u
= 18 u

^{Unburnt vanilla puffs}_{Total unburnt pastries}
= ¹⁸_{4 + 21}
= ¹⁸₂₅

Answer(s): (a) 24; (b) ¹⁸₂₅