Natalie baked 75 wafers and tarts. She burnt 12 pieces and counted the remaining pieces. ¹₃ of the tarts and ²₃ of the wafers were strawberry flavoured. There were equal number of tarts and wafers that were vanilla flavoured.

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

(a)
Number of pastries that was not burnt
= 75 - 12
= 63

Fraction of the tarts that was vanilla flavoured
= 1 - ¹₃ 
= ²₃ 

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

The number of vanilla tarts and vanilla wafers was the same. Make the numerators the same. 
23 Tarts = 1x23x2 Wafers 
23 Tarts = 26 Wafers 

Number of unburnt tarts = 3 u
Number of unburnt wafers = 6 u

Total number of unburnt pastries
= 3 u + 6 u
= 9 u

9 u = 63

1 u = 63 ÷ 9 = 7

Number of unburnt vanilla wafers
= 2 u
= 2 x 7
= 14

(b)
Number of unburnt strawberry wafers
= 6 u - 2 u
= 4 u

^{Unburnt strawberry wafers}_{Total unburnt pastries}
= ⁴_{3 + 6}
= ⁴₉

Answer(s): (a) 14; (b) ⁴₉