Barbara baked 136 scones and puffs. She burnt 17 pieces and counted the remaining pieces. ¹₃ of the puffs and ⁶₇ of the scones were strawberry flavoured. There were equal number of puffs and scones that were chocolate chip flavoured.

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

(a)
Number of pastries that was not burnt
= 136 - 17
= 119

Fraction of the puffs that was chocolate chip flavoured
= 1 - ¹₃ 
= ²₃ 

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

The number of chocolate chip puffs and chocolate chip scones was the same. Make the numerators the same. 
23 Puffs = 1x27x2 Scones 
23 Puffs = 214 Scones 

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

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

17 u = 119

1 u = 119 ÷ 17 = 7

Number of unburnt chocolate chip scones
= 2 u
= 2 x 7
= 14

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

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

Answer(s): (a) 14; (b) ¹²₁₇