Min baked 136 macarons and muffins. She burnt 11 pieces and counted the remaining pieces. ¹₅ of the muffins and ⁴₅ of the macarons were apricot flavoured. There were equal number of muffins and macarons that were vanilla flavoured.

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

(a)
Number of pastries that was not burnt
= 136 - 11
= 125

Fraction of the muffins that was vanilla flavoured
= 1 - ¹₅ 
= ⁴₅ 

Fraction of the macarons that was vanilla flavoured
= 1 - ⁴₅ 
= ¹₅ 

The number of vanilla muffins and vanilla macarons was the same. Make the numerators the same. 
45 Muffins = 1x45x4 Macarons 
45 Muffins = 420 Macarons 

Number of unburnt muffins = 5 u
Number of unburnt macarons = 20 u

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

25 u = 125

1 u = 125 ÷ 25 = 5

Number of unburnt vanilla macarons
= 4 u
= 4 x 5
= 20

(b)
Number of unburnt apricot macarons
= 20 u - 4 u
= 16 u

^{Unburnt apricot macarons}_{Total unburnt pastries}
= ¹⁶_{5 + 20}
= ¹⁶₂₅

Answer(s): (a) 20; (b) ¹⁶₂₅