Jade baked 75 wafers and cookies. She burnt 12 pieces and counted the remaining pieces. ¹₃ of the cookies and ²₃ of the wafers were banana flavoured. There were equal number of cookies and wafers that were cranberry flavoured.

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

(a)
Number of pastries that was not burnt
= 75 - 12
= 63

Fraction of the cookies that was cranberry flavoured
= 1 - ¹₃ 
= ²₃ 

Fraction of the wafers that was cranberry flavoured
= 1 - ²₃ 
= ¹₃ 

The number of cranberry cookies and cranberry wafers was the same. Make the numerators the same. 
23 Cookies = 1x23x2 Wafers 
23 Cookies = 26 Wafers 

Number of unburnt cookies = 3 u
Number of unburnt wafers = 6 u

Total number of unburnt pastries
= 3 u + 6 u
= 9 u

9 u = 63

1 u = 63 ÷ 9 = 7

Number of unburnt cranberry wafers
= 2 u
= 2 x 7
= 14

(b)
Number of unburnt banana wafers
= 6 u - 2 u
= 4 u

^{Unburnt banana wafers}_{Total unburnt pastries}
= ⁴_{3 + 6}
= ⁴₉

Answer(s): (a) 14; (b) ⁴₉