Fiona baked 131 macarons and cupcakes. She burnt 8 pieces and counted the remaining pieces. ¹₆ of the cupcakes and ⁶₇ of the macarons were cranberry flavoured. There were equal number of cupcakes and macarons that were apple flavoured.

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

(a)
Number of pastries that was not burnt
= 131 - 8
= 123

Fraction of the cupcakes that was apple flavoured
= 1 - ¹₆ 
= ⁵₆ 

Fraction of the macarons that was apple flavoured
= 1 - ⁶₇ 
= ¹₇ 

The number of apple cupcakes and apple macarons was the same. Make the numerators the same. 
56 Cupcakes = 1x57x5 Macarons 
56 Cupcakes = 535 Macarons 

Number of unburnt cupcakes = 6 u
Number of unburnt macarons = 35 u

Total number of unburnt pastries
= 6 u + 35 u
= 41 u

41 u = 123

1 u = 123 ÷ 41 = 3

Number of unburnt apple macarons
= 5 u
= 5 x 3
= 15

(b)
Number of unburnt cranberry macarons
= 35 u - 5 u
= 30 u

^{Unburnt cranberry macarons}_{Total unburnt pastries}
= ³⁰_{6 + 35}
= ³⁰₄₁

Answer(s): (a) 15; (b) ³⁰₄₁