How many cakes are needed to provide 24 servings for a class of 70 and a staff of 3?
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, first calculate the total number of servings needed for the entire group, which is 73 people (70 students + 3 staff). If each cake provides 24 servings, dividing the total 73 servings by 24 yields approximately 3.04, indicating that at least 4 cakes are necessary to ensure everyone is served.
This choice accurately reflects the total number of cakes required, as dividing the 73 servings needed by 24 servings per cake results in a requirement for 4 cakes to accommodate the entire group. This ensures that every person, both students and staff, receives a serving.
Choosing 2 cakes would only provide 48 servings (2 x 24), which is insufficient for a total of 73 individuals. This number falls short, leaving many people without a serving, making this option impractical.
Three cakes would yield 72 servings (3 x 24), which is still not enough for the 73 people needing servings. Although close, this option would leave one person without cake, failing to meet the total requirement.
While five cakes would provide 120 servings (5 x 24), which exceeds the requirement, this option is unnecessarily excessive. It offers more than enough servings, which is not efficient considering the goal is to meet the exact need.
To effectively serve a class of 70 students and 3 staff members, a total of 73 servings are required. The calculation shows that 4 cakes will suffice, providing just the right amount without excessive leftovers. The options of 2, 3, and 5 cakes either fall short or exceed the necessity, highlighting the importance of accurate portion planning.
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