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

0 varsity cheerleaders and 12 junior varsity cheerleaders
0 varsity cheerleaders and 12 junior varsity cheerleaders

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

8 varsity cheerleaders and 8 junior varsity cheerleaders

Answer 1

To determine which of the proposed solutions is viable for selecting 12 cheerleaders while considering the constraints of having a non-negative number of cheerleaders on each squad, we analyze each option:

1. 0 varsity cheerleaders and 12 junior varsity cheerleaders - This option totals 12 cheerleaders. Viable.

2. 8 varsity cheerleaders and 4 junior varsity cheerleaders - This option also totals 12 cheerleaders (8 + 4 = 12). Viable.

3. 15 varsity cheerleaders and -3 junior varsity cheerleaders - This option does not work because you cannot have a negative number of cheerleaders. Not viable.

4. 8 varsity cheerleaders and 8 junior varsity cheerleaders - This option totals 16 cheerleaders (8 + 8 = 16), which exceeds the required number of 12. Not viable.

In conclusion, the viable solutions are:

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

Thus, the viable options are the first and second responses.