Anna baked 221 muffins and cookies. She burnt 4 pieces and counted the remaining pieces. ¹₆ of the cookies and ⁴₅ of the muffins were blueberry flavoured. There were equal number of cookies and muffins that were chocolate chip flavoured.

1. How many unburnt chocolate chip muffins were there?
2. What fraction of the unburnt pastries were blueberry muffins?

(a)
Number of pastries that was not burnt
= 221 - 4
= 217

Fraction of the cookies that was chocolate chip flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the muffins that was chocolate chip flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of chocolate chip cookies and chocolate chip muffins was the same. Make the numerators the same. 
56 Cookies = 1x55x5 Muffins 
56 Cookies = 525 Muffins 

Number of unburnt cookies = 6 u
Number of unburnt muffins = 25 u

Total number of unburnt pastries
= 6 u + 25 u
= 31 u

31 u = 217

1 u = 217 ÷ 31 = 7

Number of unburnt chocolate chip muffins
= 5 u
= 5 x 7
= 35

(b)
Number of unburnt blueberry muffins
= 25 u - 5 u
= 20 u

^{Unburnt blueberry muffins}_{Total unburnt pastries}
= ²⁰_{6 + 25}
= ²⁰₃₁

Answer(s): (a) 35; (b) ²⁰₃₁