The largest possible number of cupcakes that had none of these ingredients is; 8 cupcakes
We are given that;
She baked 2 dozen cupcakes.
Half of the cupcakes were chocolate.
Two-thirds of the cupcakes contained raisins.
One-fourth of the cupcakes contained chocolate chips.
One-sixth of the cupcakes contained n u t s.
To solve this, you just find the largest fraction.
Looking at the given fractions, the only one that is bigger than 1/2 is 2/3.
Thus, the largest number that could not have any of these ingredients is represented by the fraction; 1 - (2/3) = 1/3
Thus, the largest possible number of cupcakes that had none of these ingredients is; (1/3) * 24 = 8 cupcakes
Read more about Fractions at; https://brainly.com/question/11562149
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