Mary baked 110 puffs and biscuits. She burnt 15 pieces and counted the remaining pieces. ¹₄ of the biscuits and ⁴₅ of the puffs were blueberry flavoured. There were equal number of biscuits and puffs that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 110 - 15
= 95

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

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

The number of cherry biscuits and cherry puffs was the same. Make the numerators the same. 
34 Biscuits = 1x35x3 Puffs 
34 Biscuits = 315 Puffs 

Number of unburnt biscuits = 4 u
Number of unburnt puffs = 15 u

Total number of unburnt pastries
= 4 u + 15 u
= 19 u

19 u = 95

1 u = 95 ÷ 19 = 5

Number of unburnt cherry puffs
= 3 u
= 3 x 5
= 15

(b)
Number of unburnt blueberry puffs
= 15 u - 3 u
= 12 u

^{Unburnt blueberry puffs}_{Total unburnt pastries}
= ¹²_{4 + 15}
= ¹²₁₉

Answer(s): (a) 15; (b) ¹²₁₉