Final answer:
The total number of vanilla cupcakes is 33, assuming the number of banana cupcakes was a typo and should be 1 to fit within the stated total of 60 cupcakes. None of the provided choices are correct.
Step-by-step explanation:
The question is about determining how many vanilla cupcakes are left in the bakery case after accounting for the other flavors. Initially, there seems to be a discrepancy in the question as it states that there are 110 banana cupcakes, but this exceeds the total number of 60 cupcakes mentioned at the beginning. Assuming the number of banana cupcakes is an error and should be adjusted to fit within the total, let's calculate the correct number of vanilla cupcakes. Carmen has 60 cupcakes in her bakery case. To find the number of vanilla cupcakes, we will subtract the number of chocolate, strawberry, and banana cupcakes from the total. Since the number for banana cupcakes exceeds the total, we will consider it as a typo and use the next plausible value, which would be '1', making the total number of other cupcakes logically consistent with the total inventory.
So we have:
12 chocolate + 14 strawberry + 1 banana = 27 cupcakes that are not vanilla.
Therefore, we subtract this from the total number of cupcakes to find the vanilla count:
60 total - 27 non-vanilla = 33 vanilla cupcakes.
It appears there was no correct option among the provided choices A. 51, B. 17, C. 3, D. 9.