Jean baked 260 wafers and scones. She burnt 10 pieces and counted the remaining pieces. ¹₅ of the scones and ⁴₅ of the wafers were cheese flavoured. There were equal number of scones and wafers that were blueberry flavoured.

1. How many unburnt blueberry wafers were there?
2. What fraction of the unburnt pastries were cheese wafers?

(a)
Number of pastries that was not burnt
= 260 - 10
= 250

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

Fraction of the wafers that was blueberry flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of blueberry scones and blueberry wafers was the same. Make the numerators the same. 
45 Scones = 1x45x4 Wafers 
45 Scones = 420 Wafers 

Number of unburnt scones = 5 u
Number of unburnt wafers = 20 u

Total number of unburnt pastries
= 5 u + 20 u
= 25 u

25 u = 250

1 u = 250 ÷ 25 = 10

Number of unburnt blueberry wafers
= 4 u
= 4 x 10
= 40

(b)
Number of unburnt cheese wafers
= 20 u - 4 u
= 16 u

^{Unburnt cheese wafers}_{Total unburnt pastries}
= ¹⁶_{5 + 20}
= ¹⁶₂₅

Answer(s): (a) 40; (b) ¹⁶₂₅