Shiyun baked 289 cupcakes and wafers. She burnt 14 pieces and counted the remaining pieces. ¹₅ of the wafers and ⁴₅ of the cupcakes were vanilla flavoured. There were equal number of wafers and cupcakes that were strawberry flavoured.

1. How many unburnt strawberry cupcakes were there?
2. What fraction of the unburnt pastries were vanilla cupcakes?

(a)
Number of pastries that was not burnt
= 289 - 14
= 275

Fraction of the wafers that was strawberry flavoured
= 1 - ¹₅ 
= ⁴₅ 

Fraction of the cupcakes that was strawberry flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of strawberry wafers and strawberry cupcakes was the same. Make the numerators the same. 
45 Wafers = 1x45x4 Cupcakes 
45 Wafers = 420 Cupcakes 

Number of unburnt wafers = 5 u
Number of unburnt cupcakes = 20 u

Total number of unburnt pastries
= 5 u + 20 u
= 25 u

25 u = 275

1 u = 275 ÷ 25 = 11

Number of unburnt strawberry cupcakes
= 4 u
= 4 x 11
= 44

(b)
Number of unburnt vanilla cupcakes
= 20 u - 4 u
= 16 u

^{Unburnt vanilla cupcakes}_{Total unburnt pastries}
= ¹⁶_{5 + 20}
= ¹⁶₂₅

Answer(s): (a) 44; (b) ¹⁶₂₅