Zoe baked 113 tarts and wafers. She burnt 8 pieces and counted the remaining pieces. ¹₆ of the wafers and ²₃ of the tarts were apple flavoured. There were equal number of wafers and tarts that were chocolate chip flavoured.

1. How many unburnt chocolate chip tarts were there?
2. What fraction of the unburnt pastries were apple tarts?

(a)
Number of pastries that was not burnt
= 113 - 8
= 105

Fraction of the wafers that was chocolate chip flavoured
= 1 - ¹₆ 
= ⁵₆ 

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

The number of chocolate chip wafers and chocolate chip tarts was the same. Make the numerators the same. 
56 Wafers = 1x53x5 Tarts 
56 Wafers = 515 Tarts 

Number of unburnt wafers = 6 u
Number of unburnt tarts = 15 u

Total number of unburnt pastries
= 6 u + 15 u
= 21 u

21 u = 105

1 u = 105 ÷ 21 = 5

Number of unburnt chocolate chip tarts
= 5 u
= 5 x 5
= 25

(b)
Number of unburnt apple tarts
= 15 u - 5 u
= 10 u

^{Unburnt apple tarts}_{Total unburnt pastries}
= ¹⁰_{6 + 15}
= ¹⁰₂₁

Answer(s): (a) 25; (b) ¹⁰₂₁