Hazel baked 148 wafers and tarts. She burnt 4 pieces and counted the remaining pieces. ¹₄ of the tarts and ³₄ of the wafers were apple 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 apple wafers?

(a)
Number of pastries that was not burnt
= 148 - 4
= 144

Fraction of the tarts that was banana flavoured
= 1 - ¹₄ 
= ³₄ 

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

The number of banana tarts and banana wafers was the same. Make the numerators the same. 
34 Tarts = 1x34x3 Wafers 
34 Tarts = 312 Wafers 

Number of unburnt tarts = 4 u
Number of unburnt wafers = 12 u

Total number of unburnt pastries
= 4 u + 12 u
= 16 u

16 u = 144

1 u = 144 ÷ 16 = 9

Number of unburnt banana wafers
= 3 u
= 3 x 9
= 27

(b)
Number of unburnt apple wafers
= 12 u - 3 u
= 9 u

^{Unburnt apple wafers}_{Total unburnt pastries}
= ⁹_{4 + 12}
= ⁹₁₆

Answer(s): (a) 27; (b) ⁹₁₆