Jane baked 58 cookies and wafers. She burnt 7 pieces and counted the remaining pieces. ¹₃ of the wafers and ⁶₇ of the cookies were cranberry flavoured. There were equal number of wafers and cookies that were apple flavoured.

1. How many unburnt apple cookies were there?
2. What fraction of the unburnt pastries were cranberry cookies?

(a)
Number of pastries that was not burnt
= 58 - 7
= 51

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

Fraction of the cookies that was apple flavoured
= 1 - ⁶₇ 
= ¹₇ 

The number of apple wafers and apple cookies was the same. Make the numerators the same. 
23 Wafers = 1x27x2 Cookies 
23 Wafers = 214 Cookies 

Number of unburnt wafers = 3 u
Number of unburnt cookies = 14 u

Total number of unburnt pastries
= 3 u + 14 u
= 17 u

17 u = 51

1 u = 51 ÷ 17 = 3

Number of unburnt apple cookies
= 2 u
= 2 x 3
= 6

(b)
Number of unburnt cranberry cookies
= 14 u - 2 u
= 12 u

^{Unburnt cranberry cookies}_{Total unburnt pastries}
= ¹²_{3 + 14}
= ¹²₁₇

Answer(s): (a) 6; (b) ¹²₁₇