Lynn baked 133 macarons and biscuits. She burnt 3 pieces and counted the remaining pieces. ¹₆ of the biscuits and ³₄ of the macarons were apricot flavoured. There were equal number of biscuits and macarons that were cranberry flavoured.

1. How many unburnt cranberry macarons were there?
2. What fraction of the unburnt pastries were apricot macarons?

(a)
Number of pastries that was not burnt
= 133 - 3
= 130

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

Fraction of the macarons that was cranberry flavoured
= 1 - ³₄ 
= ¹₄ 

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

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

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

26 u = 130

1 u = 130 ÷ 26 = 5

Number of unburnt cranberry macarons
= 5 u
= 5 x 5
= 25

(b)
Number of unburnt apricot macarons
= 20 u - 5 u
= 15 u

^{Unburnt apricot macarons}_{Total unburnt pastries}
= ¹⁵_{6 + 20}
= ¹⁵₂₆

Answer(s): (a) 25; (b) ¹⁵₂₆