Abi baked 223 puffs and wafers. She burnt 7 pieces and counted the remaining pieces. ¹₆ of the wafers and ⁵₆ of the puffs were cranberry flavoured. There were equal number of wafers and puffs that were apple flavoured.

1. How many unburnt apple puffs were there?
2. What fraction of the unburnt pastries were cranberry puffs?

(a)
Number of pastries that was not burnt
= 223 - 7
= 216

Fraction of the wafers that was apple flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the puffs that was apple flavoured
= 1 - ⁵₆ 
= ¹₆ 

The number of apple wafers and apple puffs was the same. Make the numerators the same. 
56 Wafers = 1x56x5 Puffs 
56 Wafers = 530 Puffs 

Number of unburnt wafers = 6 u
Number of unburnt puffs = 30 u

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

36 u = 216

1 u = 216 ÷ 36 = 6

Number of unburnt apple puffs
= 5 u
= 5 x 6
= 30

(b)
Number of unburnt cranberry puffs
= 30 u - 5 u
= 25 u

^{Unburnt cranberry puffs}_{Total unburnt pastries}
= ²⁵_{6 + 30}
= ²⁵₃₆

Answer(s): (a) 30; (b) ²⁵₃₆