Lynn baked 196 cookies and macarons. She burnt 6 pieces and counted the remaining pieces. ¹₄ of the macarons and ⁴₅ of the cookies were strawberry flavoured. There were equal number of macarons and cookies that were apple flavoured.

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

(a)
Number of pastries that was not burnt
= 196 - 6
= 190

Fraction of the macarons that was apple flavoured
= 1 - ¹₄ 
= ³₄ 

Fraction of the cookies that was apple flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of apple macarons and apple cookies was the same. Make the numerators the same. 
34 Macarons = 1x35x3 Cookies 
34 Macarons = 315 Cookies 

Number of unburnt macarons = 4 u
Number of unburnt cookies = 15 u

Total number of unburnt pastries
= 4 u + 15 u
= 19 u

19 u = 190

1 u = 190 ÷ 19 = 10

Number of unburnt apple cookies
= 3 u
= 3 x 10
= 30

(b)
Number of unburnt strawberry cookies
= 15 u - 3 u
= 12 u

^{Unburnt strawberry cookies}_{Total unburnt pastries}
= ¹²_{4 + 15}
= ¹²₁₉

Answer(s): (a) 30; (b) ¹²₁₉