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.
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