Roshel baked 227 muffins and tarts. She burnt 2 pieces and counted the remaining pieces. ¹₄ of the tarts and ⁶₇ of the muffins were strawberry flavoured. There were equal number of tarts and muffins that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 227 - 2
= 225

Fraction of the tarts that was cherry flavoured
= 1 - ¹₄ 
= ³₄ 

Fraction of the muffins that was cherry flavoured
= 1 - ⁶₇ 
= ¹₇ 

The number of cherry tarts and cherry muffins was the same. Make the numerators the same. 
34 Tarts = 1x37x3 Muffins 
34 Tarts = 321 Muffins 

Number of unburnt tarts = 4 u
Number of unburnt muffins = 21 u

Total number of unburnt pastries
= 4 u + 21 u
= 25 u

25 u = 225

1 u = 225 ÷ 25 = 9

Number of unburnt cherry muffins
= 3 u
= 3 x 9
= 27

(b)
Number of unburnt strawberry muffins
= 21 u - 3 u
= 18 u

^{Unburnt strawberry muffins}_{Total unburnt pastries}
= ¹⁸_{4 + 21}
= ¹⁸₂₅

Answer(s): (a) 27; (b) ¹⁸₂₅