Tammy baked 172 macarons and tarts. She burnt 17 pieces and counted the remaining pieces. ¹₆ of the tarts and ⁴₅ of the macarons were chocolate chip flavoured. There were equal number of tarts and macarons that were strawberry flavoured.

1. How many unburnt strawberry macarons were there?
2. What fraction of the unburnt pastries were chocolate chip macarons?

(a)
Number of pastries that was not burnt
= 172 - 17
= 155

Fraction of the tarts that was strawberry flavoured
= 1 - ¹₆ 
= ⁵₆ 

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

The number of strawberry tarts and strawberry macarons was the same. Make the numerators the same. 
56 Tarts = 1x55x5 Macarons 
56 Tarts = 525 Macarons 

Number of unburnt tarts = 6 u
Number of unburnt macarons = 25 u

Total number of unburnt pastries
= 6 u + 25 u
= 31 u

31 u = 155

1 u = 155 ÷ 31 = 5

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

(b)
Number of unburnt chocolate chip macarons
= 25 u - 5 u
= 20 u

^{Unburnt chocolate chip macarons}_{Total unburnt pastries}
= ²⁰_{6 + 25}
= ²⁰₃₁

Answer(s): (a) 25; (b) ²⁰₃₁