Risa baked 82 wafers and tarts. She burnt 10 pieces and counted the remaining pieces. ¹₆ of the tarts and ⁵₆ of the wafers were chocolate chip flavoured. There were equal number of tarts and wafers that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 82 - 10
= 72

Fraction of the tarts that was cherry flavoured
= 1 - ¹₆ 
= ⁵₆ 

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

The number of cherry tarts and cherry wafers was the same. Make the numerators the same. 
56 Tarts = 1x56x5 Wafers 
56 Tarts = 530 Wafers 

Number of unburnt tarts = 6 u
Number of unburnt wafers = 30 u

Total number of unburnt pastries
= 6 u + 30 u
= 36 u

36 u = 72

1 u = 72 ÷ 36 = 2

Number of unburnt cherry wafers
= 5 u
= 5 x 2
= 10

(b)
Number of unburnt chocolate chip wafers
= 30 u - 5 u
= 25 u

^{Unburnt chocolate chip wafers}_{Total unburnt pastries}
= ²⁵_{6 + 30}
= ²⁵₃₆

Answer(s): (a) 10; (b) ²⁵₃₆