Marion baked 213 muffins and cookies. She burnt 10 pieces and counted the remaining pieces. ¹₅ of the cookies and ⁵₆ of the muffins were apricot flavoured. There were equal number of cookies and muffins that were cherry flavoured.

1. How many unburnt cherry muffins were there?
2. What fraction of the unburnt pastries were apricot muffins?

(a)
Number of pastries that was not burnt
= 213 - 10
= 203

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

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

The number of cherry cookies and cherry muffins was the same. Make the numerators the same. 
45 Cookies = 1x46x4 Muffins 
45 Cookies = 424 Muffins 

Number of unburnt cookies = 5 u
Number of unburnt muffins = 24 u

Total number of unburnt pastries
= 5 u + 24 u
= 29 u

29 u = 203

1 u = 203 ÷ 29 = 7

Number of unburnt cherry muffins
= 4 u
= 4 x 7
= 28

(b)
Number of unburnt apricot muffins
= 24 u - 4 u
= 20 u

^{Unburnt apricot muffins}_{Total unburnt pastries}
= ²⁰_{5 + 24}
= ²⁰₂₉

Answer(s): (a) 28; (b) ²⁰₂₉