2. How many cakes are needed to serve a group of 70 students and 3 staff members if each cake provides 24 servings?
Answer: A
Four cakes are needed to serve the group.
To serve a total of 73 individuals (70 students and 3 staff members), and given that each cake provides 24 servings, a calculation shows that 4 cakes will be required to adequately serve everyone.
A) 4
This option is correct because to determine the number of cakes needed, we divide the total number of servings required (73) by the number of servings per cake (24). Performing the calculation, 73 divided by 24 equals approximately 3.04, which rounds up to 4, confirming that 4 cakes will be necessary.
B) 2
This option is incorrect as two cakes would only provide 48 servings (2 cakes x 24 servings each). Since 73 servings are needed, two cakes would be insufficient to serve all individuals.
C) 3
This option is also incorrect because three cakes would provide only 72 servings (3 cakes x 24 servings each). This amount falls short of the 73 servings required, leaving one individual without a serving.
D) 5
This option is incorrect as well, since five cakes would provide 120 servings (5 cakes x 24 servings each), which exceeds the requirement. While this option would serve everyone, it is not the most efficient answer given the need.
Conclusion
The calculation clearly demonstrates that 4 cakes are necessary to meet the serving requirement for 73 individuals. Options B, C, and D either under-serve or over-serve the group, making them unsuitable. Thus, option A is definitively the correct choice.