Jean baked 50 cookies and muffins. She burnt 2 pieces and counted the remaining pieces. ¹₄ of the muffins and ³₄ of the cookies were cheese flavoured. There were equal number of muffins and cookies that were blueberry flavoured.

1. How many unburnt blueberry cookies were there?
2. What fraction of the unburnt pastries were cheese cookies?

(a)
Number of pastries that was not burnt
= 50 - 2
= 48

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

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

The number of blueberry muffins and blueberry cookies was the same. Make the numerators the same. 
34 Muffins = 1x34x3 Cookies 
34 Muffins = 312 Cookies 

Number of unburnt muffins = 4 u
Number of unburnt cookies = 12 u

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

16 u = 48

1 u = 48 ÷ 16 = 3

Number of unburnt blueberry cookies
= 3 u
= 3 x 3
= 9

(b)
Number of unburnt cheese cookies
= 12 u - 3 u
= 9 u

^{Unburnt cheese cookies}_{Total unburnt pastries}
= ⁹_{4 + 12}
= ⁹₁₆

Answer(s): (a) 9; (b) ⁹₁₆