Joelle baked 261 muffins and tarts. She burnt 11 pieces and counted the remaining pieces. ¹₄ of the tarts and ⁶₇ of the muffins were apricot flavoured. There were equal number of tarts and muffins that were strawberry flavoured.

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

(a)
Number of pastries that was not burnt
= 261 - 11
= 250

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

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

The number of strawberry tarts and strawberry 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 = 250

1 u = 250 ÷ 25 = 10

Number of unburnt strawberry muffins
= 3 u
= 3 x 10
= 30

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

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

Answer(s): (a) 30; (b) ¹⁸₂₅