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Ellen baked 2 dozen cupcakes of which half contained chocolate, two-thirds contained raisins, one-fourth contained chocolate chips, and one-sixth contained nuts. What is the largest possible number of cupcakes that had none of these ingredients?

 

i think y'all know i'm a half wit.

 Jan 9, 2018
 #1
avatar+101870 
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2 dozen  =  24

 

20   did not contain nuts

18  did not contain chocolate chips

12  did not contain chocolate

 8   did not contain raisins

 

If eight did not contain rasins, then it is also possible that these eight  also did not contain the other  three ingredients

 

So.....8  is the largest possible number that did not contain all four ingredients

 

 

cool cool cool

 Jan 10, 2018

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