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Tristan is in charge of cheerleading tryouts for their school. They need to pick 12 new cheerleaders to allocate across both the varsity and junior varsity squads. Which of the following is a viable solution?(1 point) Responses 15 varsity cheerleaders and −3 junior varsity cheerleaders 15 varsity cheerleaders and negative 3 junior varsity cheerleaders 8 varsity cheerleaders and 4 junior varsity cheerleaders 8 varsity cheerleaders and 4 junior varsity cheerleaders 0 varsity cheerleaders and 12 junior varsity cheerleaders 0 varsity cheerleaders and 12 junior varsity cheerleaders 8 varsity cheerleaders and 8 junior varsity cheerleaders 8 varsity cheerleaders and 8 junior varsity cheerleaders

1 answer

To determine a viable solution for the cheerleading tryouts where Tristan needs to pick a total of 12 cheerleaders, we need to check each option to ensure they add up to exactly 12 and are non-negative (since you can't have a negative number of cheerleaders).

Here are the options analyzed:

  1. 15 varsity cheerleaders and -3 junior varsity cheerleaders

    • Total: 15 + (-3) = 12
    • Not viable because -3 junior varsity cheerleaders is not possible.

  2. 15 varsity cheerleaders and negative 3 junior varsity cheerleaders

    • Same as above; not viable for the same reason.

  3. 8 varsity cheerleaders and 4 junior varsity cheerleaders

    • Total: 8 + 4 = 12
    • Viable.

  4. 8 varsity cheerleaders and 4 junior varsity cheerleaders

    • Same as above; still viable.

  5. 0 varsity cheerleaders and 12 junior varsity cheerleaders

    • Total: 0 + 12 = 12
    • Viable.

  6. 0 varsity cheerleaders and 12 junior varsity cheerleaders

    • Same as above; still viable.

  7. 8 varsity cheerleaders and 8 junior varsity cheerleaders

    • Total: 8 + 8 = 16
    • Not viable because it exceeds 12.

From the analysis, the viable solutions are:

  • 8 varsity cheerleaders and 4 junior varsity cheerleaders
  • 0 varsity cheerleaders and 12 junior varsity cheerleaders

Thus, the viable solutions are option 3, 4, and 5 from the provided list. If you want a single example as a viable solution, you can choose 8 varsity cheerleaders and 4 junior varsity cheerleaders.