Anna baked 53 scones and wafers. She burnt 2 pieces and counted the remaining pieces. ¹₃ of the wafers and ⁶₇ of the scones were blueberry 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 blueberry scones?

(a)
Number of pastries that was not burnt
= 53 - 2
= 51

Fraction of the wafers that was apricot flavoured
= 1 - ¹₃ 
= ²₃ 

Fraction of the scones that was apricot flavoured
= 1 - ⁶₇ 
= ¹₇ 

The number of apricot wafers and apricot scones was the same. Make the numerators the same. 
23 Wafers = 1x27x2 Scones 
23 Wafers = 214 Scones 

Number of unburnt wafers = 3 u
Number of unburnt scones = 14 u

Total number of unburnt pastries
= 3 u + 14 u
= 17 u

17 u = 51

1 u = 51 ÷ 17 = 3

Number of unburnt apricot scones
= 2 u
= 2 x 3
= 6

(b)
Number of unburnt blueberry scones
= 14 u - 2 u
= 12 u

^{Unburnt blueberry scones}_{Total unburnt pastries}
= ¹²_{3 + 14}
= ¹²₁₇

Answer(s): (a) 6; (b) ¹²₁₇