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Xithlaly is in charge of selecting the prom committee for her school. The committee must consist of 15 upperclassmen (juniors and seniors), with at least one student from each grade. Which of the following is a viable solution?

Option #1: 4 juniors and 12 seniors

Option #2: 15 juniors and 0 seniors

Option #3: 6 juniors and 9 seniors

(1 point)
Option # is a viable solution.

1 answer

To determine a viable solution for the prom committee, we need to ensure that the committee consists of 15 upperclassmen with at least one student from each grade (juniors and seniors).

Let's evaluate each option:

  • Option #1: 4 juniors and 12 seniors
    This option has 4 juniors and 12 seniors, meeting the requirement of at least one student from each grade. Total = 4 + 12 = 16. Not viable.

  • Option #2: 15 juniors and 0 seniors
    This option has only juniors and no seniors, which does not meet the requirement of having at least one student from each grade. Not viable.

  • Option #3: 6 juniors and 9 seniors
    This option has 6 juniors and 9 seniors, meeting the requirement of at least one student from each grade. Total = 6 + 9 = 15. Viable.

Therefore, the viable solution is:

Option #3 is a viable solution.