Penelope baked 37 wafers and tarts. She burnt 11 pieces and counted the remaining pieces. ¹₃ of the tarts and ⁴₅ of the wafers were cranberry flavoured. There were equal number of tarts and wafers that were banana flavoured.

1. How many unburnt banana wafers were there?
2. What fraction of the unburnt pastries were cranberry wafers?

(a)
Number of pastries that was not burnt
= 37 - 11
= 26

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

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

The number of banana tarts and banana wafers was the same. Make the numerators the same. 
23 Tarts = 1x25x2 Wafers 
23 Tarts = 210 Wafers 

Number of unburnt tarts = 3 u
Number of unburnt wafers = 10 u

Total number of unburnt pastries
= 3 u + 10 u
= 13 u

13 u = 26

1 u = 26 ÷ 13 = 2

Number of unburnt banana wafers
= 2 u
= 2 x 2
= 4

(b)
Number of unburnt cranberry wafers
= 10 u - 2 u
= 8 u

^{Unburnt cranberry wafers}_{Total unburnt pastries}
= ⁸_{3 + 10}
= ⁸₁₃

Answer(s): (a) 4; (b) ⁸₁₃