Hilda baked 158 scones and wafers. She burnt 6 pieces and counted the remaining pieces. ¹₄ of the wafers and ⁴₅ of the scones were strawberry flavoured. There were equal number of wafers and scones that were apricot flavoured.

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

(a)
Number of pastries that was not burnt
= 158 - 6
= 152

Fraction of the wafers that was apricot flavoured
= 1 - ¹₄ 
= ³₄ 

Fraction of the scones that was apricot flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of apricot wafers and apricot scones was the same. Make the numerators the same. 
34 Wafers = 1x35x3 Scones 
34 Wafers = 315 Scones 

Number of unburnt wafers = 4 u
Number of unburnt scones = 15 u

Total number of unburnt pastries
= 4 u + 15 u
= 19 u

19 u = 152

1 u = 152 ÷ 19 = 8

Number of unburnt apricot scones
= 3 u
= 3 x 8
= 24

(b)
Number of unburnt strawberry scones
= 15 u - 3 u
= 12 u

^{Unburnt strawberry scones}_{Total unburnt pastries}
= ¹²_{4 + 15}
= ¹²₁₉

Answer(s): (a) 24; (b) ¹²₁₉