Kathy baked 243 biscuits and macarons. She burnt 9 pieces and counted the remaining pieces. ¹₆ of the macarons and ³₄ of the biscuits were strawberry flavoured. There were equal number of macarons and biscuits that were apricot flavoured.

1. How many unburnt apricot biscuits were there?
2. What fraction of the unburnt pastries were strawberry biscuits?

(a)
Number of pastries that was not burnt
= 243 - 9
= 234

Fraction of the macarons that was apricot flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the biscuits that was apricot flavoured
= 1 - ³₄ 
= ¹₄ 

The number of apricot macarons and apricot biscuits was the same. Make the numerators the same. 
56 Macarons = 1x54x5 Biscuits 
56 Macarons = 520 Biscuits 

Number of unburnt macarons = 6 u
Number of unburnt biscuits = 20 u

Total number of unburnt pastries
= 6 u + 20 u
= 26 u

26 u = 234

1 u = 234 ÷ 26 = 9

Number of unburnt apricot biscuits
= 5 u
= 5 x 9
= 45

(b)
Number of unburnt strawberry biscuits
= 20 u - 5 u
= 15 u

^{Unburnt strawberry biscuits}_{Total unburnt pastries}
= ¹⁵_{6 + 20}
= ¹⁵₂₆

Answer(s): (a) 45; (b) ¹⁵₂₆