Question 39

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

To determine the number of cakes required, we first need to calculate the total number of servings needed for the 70 students and 3 staff members, which totals 73 individuals. Since each cake provides 24 servings, dividing the total servings required (73) by the servings per cake (24) indicates that 4 cakes are necessary to adequately serve everyone.

A) 4

This option is correct because, when dividing 73 servings by 24 servings per cake, the result is approximately 3.04. Since we cannot have a fraction of a cake, we round up to 4 to ensure that there are enough servings for everyone.

B) 2

This option is incorrect because two cakes would only provide a total of 48 servings (2 x 24 = 48), which is insufficient for the 73 individuals needing servings. Therefore, this option does not meet the requirement.

C) 3

This option is also incorrect as three cakes would yield only 72 servings (3 x 24 = 72), which is still not enough to serve all 73 individuals. Thus, this option fails to provide adequate servings.

D) 5

While five cakes would provide 120 servings (5 x 24 = 120), which is more than enough, it is not the most efficient answer. The question seeks the minimum number of cakes needed, so this option is unnecessarily excessive.

Conclusion

The correct answer is four cakes, as this number meets the exact serving requirements for all individuals involved. Other options either fall short in providing enough servings or are excessive, failing to align with the goal of efficiency in serving.