Pamela baked 93 scones and wafers. She burnt 5 pieces and counted the remaining pieces. ¹₃ of the wafers and ³₄ of the scones were cherry flavoured. There were equal number of wafers and scones that were cheese flavoured.

1. How many unburnt cheese scones were there?
2. What fraction of the unburnt pastries were cherry scones?

(a)
Number of pastries that was not burnt
= 93 - 5
= 88

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

Fraction of the scones that was cheese flavoured
= 1 - ³₄ 
= ¹₄ 

The number of cheese wafers and cheese scones was the same. Make the numerators the same. 
23 Wafers = 1x24x2 Scones 
23 Wafers = 28 Scones 

Number of unburnt wafers = 3 u
Number of unburnt scones = 8 u

Total number of unburnt pastries
= 3 u + 8 u
= 11 u

11 u = 88

1 u = 88 ÷ 11 = 8

Number of unburnt cheese scones
= 2 u
= 2 x 8
= 16

(b)
Number of unburnt cherry scones
= 8 u - 2 u
= 6 u

^{Unburnt cherry scones}_{Total unburnt pastries}
= ⁶_{3 + 8}
= ⁶₁₁

Answer(s): (a) 16; (b) ⁶₁₁