Pamela baked 96 cookies and macarons. She burnt 4 pieces and counted the remaining pieces. ¹₆ of the macarons and ⁷₈ of the cookies were blueberry flavoured. There were equal number of macarons and cookies that were banana flavoured.

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

(a)
Number of pastries that was not burnt
= 96 - 4
= 92

Fraction of the macarons that was banana flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the cookies that was banana flavoured
= 1 - ⁷₈ 
= ¹₈ 

The number of banana macarons and banana cookies was the same. Make the numerators the same. 
56 Macarons = 1x58x5 Cookies 
56 Macarons = 540 Cookies 

Number of unburnt macarons = 6 u
Number of unburnt cookies = 40 u

Total number of unburnt pastries
= 6 u + 40 u
= 46 u

46 u = 92

1 u = 92 ÷ 46 = 2

Number of unburnt banana cookies
= 5 u
= 5 x 2
= 10

(b)
Number of unburnt blueberry cookies
= 40 u - 5 u
= 35 u

^{Unburnt blueberry cookies}_{Total unburnt pastries}
= ³⁵_{6 + 40}
= ³⁵₄₆

Answer(s): (a) 10; (b) ³⁵₄₆