How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?

Rationale

Four cakes are needed to provide 24 servings for a class of 70 students and 3 staff members.

To determine the number of cakes required, we first calculate the total number of servings needed for 73 individuals (70 students + 3 staff). Since each cake provides 24 servings, dividing the total servings by the servings per cake gives us the required number of cakes.

A (4) CORRECT

This choice is correct because to serve 73 people, we need a total of 4 cakes. Each cake serves 24, so 4 cakes provide 96 servings (4 x 24), which is sufficient for the 73 individuals.

B (2) YOUR ANSWER

Choosing 2 cakes would only yield 48 servings (2 x 24), which is insufficient for 73 people. This option fails to meet the requirement, as 48 servings are far fewer than the 73 needed.

C (3) YOUR ANSWER

Three cakes would provide 72 servings (3 x 24), which is still inadequate since it falls short by 1 serving for the total of 73 individuals. Thus, this choice does not fulfill the serving requirement.

D (5) YOUR ANSWER

While 5 cakes would provide 120 servings (5 x 24), which exceeds what is needed, it does not represent the most efficient solution. The question specifically asks for the minimum number of cakes required, making this choice unnecessary and excessive.

Conclusion

To serve a class of 70 students and 3 staff members, a total of 73 servings is required. By calculating the servings per cake, we find that 4 cakes provide sufficient servings without surplus, making this the optimal answer. Other options either fall short of the requirement or unnecessarily exceed it, confirming that four is the correct and most efficient choice.

How many cakes are needed to provide 24 servings for a class of 70 students and 3 staff members?

Four cakes are needed to provide 24 servings for a class of 70 students and 3 staff members.

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