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Dave's sister baked 2 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one eighth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?

 Nov 24, 2020
 #1
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Dave's sister baked 2 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one eighth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?    

 

24 pies  

 

1/3 • 24  =   8 chocolate  

1/4 • 24  =   6 marshmallows  

1/6 • 24  =   4 cayenne  

1/8 • 24  =   3 soy nuts  

 

total       =  21 pies with the specified ingredients 

 

That leaves 3 pies that had none of these ingredients  

.

 Nov 24, 2020
 #2
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Not sure I want a cayenne pie!

 Nov 24, 2020

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