Jane baked 144 puffs and wafers. She burnt 12 pieces and counted the remaining pieces. ¹₃ of the wafers and ³₄ of the puffs were banana flavoured. There were equal number of wafers and puffs that were cheese flavoured.

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

(a)
Number of pastries that was not burnt
= 144 - 12
= 132

Fraction of the wafers that was cheese flavoured
= 1 - ¹₃ 
= ²₃ 

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

The number of cheese wafers and cheese puffs was the same. Make the numerators the same. 
23 Wafers = 1x24x2 Puffs 
23 Wafers = 28 Puffs 

Number of unburnt wafers = 3 u
Number of unburnt puffs = 8 u

Total number of unburnt pastries
= 3 u + 8 u
= 11 u

11 u = 132

1 u = 132 ÷ 11 = 12

Number of unburnt cheese puffs
= 2 u
= 2 x 12
= 24

(b)
Number of unburnt banana puffs
= 8 u - 2 u
= 6 u

^{Unburnt banana puffs}_{Total unburnt pastries}
= ⁶_{3 + 8}
= ⁶₁₁

Answer(s): (a) 24; (b) ⁶₁₁