How many cakes are needed to serve a group of 70 students and 3 staff members if each cake provides 24 servings?

Rationale

Four cakes are needed to serve a group of 70 students and 3 staff members.

To serve a total of 73 individuals (70 students plus 3 staff members), and with each cake providing 24 servings, dividing the total number of individuals by the servings per cake determines the quantity of cakes required. Specifically, 73 divided by 24 equals approximately 3.04, which means at least 4 cakes are necessary to ensure everyone is served.

A (4) CORRECT

This choice accurately reflects the calculation needed to serve 73 individuals, where 4 cakes provide a total of 96 servings (4 x 24 = 96), which is sufficient to cover the requirement. It ensures that every student and staff member receives a serving, with additional servings available.

B (2) YOUR ANSWER

Choosing 2 cakes would only provide 48 servings (2 x 24 = 48), which is insufficient for 73 people. This choice fails to meet the needs of the group, as there would be a deficit of 25 servings, leaving many individuals without cake.

C (3) YOUR ANSWER

Three cakes would offer 72 servings (3 x 24 = 72), which is still inadequate for 73 individuals. This choice results in one person being without a serving, making it an impractical option for the group’s needs.

D (5) YOUR ANSWER

While 5 cakes provide 120 servings (5 x 24 = 120), which exceeds the requirement, this choice is unnecessarily excessive. Although it ensures everyone is served, it goes beyond what is actually required, leading to waste.

Conclusion

To adequately serve a group of 73 individuals, the calculation shows that 4 cakes are necessary, providing ample servings without excess waste. Options B and C do not meet the serving requirements, while D, although sufficient, is excessive. Thus, 4 cakes represent the optimal choice for this scenario.

How many cakes are needed to serve a group of 70 students and 3 staff members if each cake provides 24 servings?

Four cakes are needed to serve a group of 70 students and 3 staff members.

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