Min baked 118 macarons and cookies. She burnt 18 pieces and counted the remaining pieces. ¹₄ of the cookies and ⁶₇ of the macarons were banana flavoured. There were equal number of cookies and macarons that were cheese flavoured.

1. How many unburnt cheese macarons were there?
2. What fraction of the unburnt pastries were banana macarons?

(a)
Number of pastries that was not burnt
= 118 - 18
= 100

Fraction of the cookies that was cheese flavoured
= 1 - ¹₄ 
= ³₄ 

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

The number of cheese cookies and cheese macarons was the same. Make the numerators the same. 
34 Cookies = 1x37x3 Macarons 
34 Cookies = 321 Macarons 

Number of unburnt cookies = 4 u
Number of unburnt macarons = 21 u

Total number of unburnt pastries
= 4 u + 21 u
= 25 u

25 u = 100

1 u = 100 ÷ 25 = 4

Number of unburnt cheese macarons
= 3 u
= 3 x 4
= 12

(b)
Number of unburnt banana macarons
= 21 u - 3 u
= 18 u

^{Unburnt banana macarons}_{Total unburnt pastries}
= ¹⁸_{4 + 21}
= ¹⁸₂₅

Answer(s): (a) 12; (b) ¹⁸₂₅