Kathy baked 51 wafers and cupcakes. She burnt 18 pieces and counted the remaining pieces. ¹₃ of the cupcakes and ³₄ of the wafers were apple flavoured. There were equal number of cupcakes and wafers that were strawberry flavoured.

1. How many unburnt strawberry wafers were there?
2. What fraction of the unburnt pastries were apple wafers?

(a)
Number of pastries that was not burnt
= 51 - 18
= 33

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

Fraction of the wafers that was strawberry flavoured
= 1 - ³₄ 
= ¹₄ 

The number of strawberry cupcakes and strawberry wafers was the same. Make the numerators the same. 
23 Cupcakes = 1x24x2 Wafers 
23 Cupcakes = 28 Wafers 

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

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

11 u = 33

1 u = 33 ÷ 11 = 3

Number of unburnt strawberry wafers
= 2 u
= 2 x 3
= 6

(b)
Number of unburnt apple wafers
= 8 u - 2 u
= 6 u

^{Unburnt apple wafers}_{Total unburnt pastries}
= ⁶_{3 + 8}
= ⁶₁₁

Answer(s): (a) 6; (b) ⁶₁₁