Jaslyn baked 71 tarts and scones. She burnt 9 pieces and counted the remaining pieces. ¹₆ of the scones and ⁴₅ of the tarts were apple flavoured. There were equal number of scones and tarts that were cranberry flavoured.

1. How many unburnt cranberry tarts were there?
2. What fraction of the unburnt pastries were apple tarts?

(a)
Number of pastries that was not burnt
= 71 - 9
= 62

Fraction of the scones that was cranberry flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the tarts that was cranberry flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of cranberry scones and cranberry tarts was the same. Make the numerators the same. 
56 Scones = 1x55x5 Tarts 
56 Scones = 525 Tarts 

Number of unburnt scones = 6 u
Number of unburnt tarts = 25 u

Total number of unburnt pastries
= 6 u + 25 u
= 31 u

31 u = 62

1 u = 62 ÷ 31 = 2

Number of unburnt cranberry tarts
= 5 u
= 5 x 2
= 10

(b)
Number of unburnt apple tarts
= 25 u - 5 u
= 20 u

^{Unburnt apple tarts}_{Total unburnt pastries}
= ²⁰_{6 + 25}
= ²⁰₃₁

Answer(s): (a) 10; (b) ²⁰₃₁