Risa baked 250 puffs and cookies. She burnt 8 pieces and counted the remaining pieces. ¹₄ of the cookies and ⁵₆ of the puffs were blueberry flavoured. There were equal number of cookies and puffs that were vanilla flavoured.

1. How many unburnt vanilla puffs were there?
2. What fraction of the unburnt pastries were blueberry puffs?

(a)
Number of pastries that was not burnt
= 250 - 8
= 242

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

Fraction of the puffs that was vanilla flavoured
= 1 - ⁵₆ 
= ¹₆ 

The number of vanilla cookies and vanilla puffs was the same. Make the numerators the same. 
34 Cookies = 1x36x3 Puffs 
34 Cookies = 318 Puffs 

Number of unburnt cookies = 4 u
Number of unburnt puffs = 18 u

Total number of unburnt pastries
= 4 u + 18 u
= 22 u

22 u = 242

1 u = 242 ÷ 22 = 11

Number of unburnt vanilla puffs
= 3 u
= 3 x 11
= 33

(b)
Number of unburnt blueberry puffs
= 18 u - 3 u
= 15 u

^{Unburnt blueberry puffs}_{Total unburnt pastries}
= ¹⁵_{4 + 18}
= ¹⁵₂₂

Answer(s): (a) 33; (b) ¹⁵₂₂