Marion baked 95 muffins and biscuits. She burnt 20 pieces and counted the remaining pieces. ¹₄ of the biscuits and ⁶₇ of the muffins were vanilla flavoured. There were equal number of biscuits and muffins that were cherry flavoured.

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

(a)
Number of pastries that was not burnt
= 95 - 20
= 75

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

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

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

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

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

25 u = 75

1 u = 75 ÷ 25 = 3

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

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

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

Answer(s): (a) 9; (b) ¹⁸₂₅