Pamela baked 322 cookies and muffins. She burnt 10 pieces and counted the remaining pieces. ¹₆ of the muffins and ³₄ of the cookies were strawberry flavoured. There were equal number of muffins and cookies that were apricot flavoured.

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

(a)
Number of pastries that was not burnt
= 322 - 10
= 312

Fraction of the muffins that was apricot flavoured
= 1 - ¹₆ 
= ⁵₆ 

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

The number of apricot muffins and apricot cookies was the same. Make the numerators the same. 
56 Muffins = 1x54x5 Cookies 
56 Muffins = 520 Cookies 

Number of unburnt muffins = 6 u
Number of unburnt cookies = 20 u

Total number of unburnt pastries
= 6 u + 20 u
= 26 u

26 u = 312

1 u = 312 ÷ 26 = 12

Number of unburnt apricot cookies
= 5 u
= 5 x 12
= 60

(b)
Number of unburnt strawberry cookies
= 20 u - 5 u
= 15 u

^{Unburnt strawberry cookies}_{Total unburnt pastries}
= ¹⁵_{6 + 20}
= ¹⁵₂₆

Answer(s): (a) 60; (b) ¹⁵₂₆