Question 49

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

To accommodate 73 total individuals (70 students and 3 staff members) with 24 servings, four cakes are required since 24 servings can serve only a fraction of the group.

A) 4

This option is correct because each cake provides 24 servings. To serve 73 people, we need enough cakes to cover the total number of servings required, which can be calculated as follows: 73 divided by 24 equals approximately 3.04. Rounding up, we need 4 cakes to ensure everyone has a serving.

B) 2

This option is incorrect as two cakes would only provide 48 servings (2 x 24), which is insufficient for 73 individuals. Therefore, this choice does not meet the requirement for the number of servings needed.

C) 3

Three cakes would yield 72 servings (3 x 24), which is just one serving short for 73 people. While this option comes close, it still fails to meet the total demand for the group.

D) 5

This option is also incorrect because five cakes would provide 120 servings (5 x 24), which exceeds the number of servings required. While it would cover everyone, it is unnecessarily excessive when only four cakes are needed.

Conclusion

Four cakes are definitively the correct answer as they provide just the right amount of servings needed for all individuals, ensuring everyone is accommodated without excess. The other options fail either by not providing enough servings or offering more than necessary, highlighting the importance of calculating the required servings accurately.