Jade baked 92 puffs and cupcakes. She burnt 4 pieces and counted the remaining pieces. ¹₃ of the cupcakes and ³₄ of the puffs were cheese flavoured. There were equal number of cupcakes and puffs that were apricot flavoured.

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

(a)
Number of pastries that was not burnt
= 92 - 4
= 88

Fraction of the cupcakes that was apricot flavoured
= 1 - ¹₃ 
= ²₃ 

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

The number of apricot cupcakes and apricot puffs was the same. Make the numerators the same. 
23 Cupcakes = 1x24x2 Puffs 
23 Cupcakes = 28 Puffs 

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

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

11 u = 88

1 u = 88 ÷ 11 = 8

Number of unburnt apricot puffs
= 2 u
= 2 x 8
= 16

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

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

Answer(s): (a) 16; (b) ⁶₁₁