Cathy baked 82 wafers and doughnuts. She burnt 2 pieces and counted the remaining pieces. ¹₄ of the doughnuts and ³₄ of the wafers were cranberry flavoured. There were equal number of doughnuts and wafers that were blueberry flavoured.

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

(a)
Number of pastries that was not burnt
= 82 - 2
= 80

Fraction of the doughnuts that was blueberry flavoured
= 1 - ¹₄ 
= ³₄ 

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

The number of blueberry doughnuts and blueberry wafers was the same. Make the numerators the same. 
34 Doughnuts = 1x34x3 Wafers 
34 Doughnuts = 312 Wafers 

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

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

16 u = 80

1 u = 80 ÷ 16 = 5

Number of unburnt blueberry wafers
= 3 u
= 3 x 5
= 15

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

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

Answer(s): (a) 15; (b) ⁹₁₆