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)

Question

Responses

8 varsity cheerleaders and 4 junior varsity cheerleaders
8 varsity cheerleaders and 4 junior varsity cheerleaders

15 varsity cheerleaders and −3
junior varsity cheerleaders
15 varsity cheerleaders and negative 3 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

Answer 1

To find a viable solution for Tristan's cheerleading tryouts, we need to allocate a total of 12 cheerleaders across both the varsity and junior varsity squads.

Let's analyze the options:

1. 8 varsity cheerleaders and 4 junior varsity cheerleaders: This totals to 8 + 4 = 12 cheerleaders. Viable solution.

2. 15 varsity cheerleaders and -3 junior varsity cheerleaders: This totals to 15 + (-3) = 12 cheerleaders, but having a negative number of junior varsity cheerleaders is not feasible. Not a viable solution.

3. 0 varsity cheerleaders and 12 junior varsity cheerleaders: This totals to 0 + 12 = 12 cheerleaders. Viable solution.

4. 8 varsity cheerleaders and 8 junior varsity cheerleaders: This totals to 8 + 8 = 16 cheerleaders, which exceeds the required total. Not a viable solution.

The viable solutions from the options are:

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

Thus, the viable solutions are options 1 and 3.