Kylie baked 104 puffs and scones. She burnt 4 pieces and counted the remaining pieces. ¹₄ of the scones and ⁶₇ of the puffs were cranberry flavoured. There were equal number of scones and puffs that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 104 - 4
= 100

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

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

The number of cherry scones and cherry puffs was the same. Make the numerators the same. 
34 Scones = 1x37x3 Puffs 
34 Scones = 321 Puffs 

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

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

25 u = 100

1 u = 100 ÷ 25 = 4

Number of unburnt cherry puffs
= 3 u
= 3 x 4
= 12

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

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

Answer(s): (a) 12; (b) ¹⁸₂₅