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 listings is a viable solution for selecting 12 cheerleaders, we can evaluate each option based on the requirement of a total of 12 cheerleaders split between varsity and junior varsity.

1. 0 varsity cheerleaders and 12 junior varsity cheerleaders: Total = 0 + 12 = 12 (viable)

2. 8 varsity cheerleaders and 4 junior varsity cheerleaders: Total = 8 + 4 = 12 (viable)

3. 15 varsity cheerleaders and −3 junior varsity cheerleaders: Total = 15 - 3 = 12 (viable mathematically, but having a negative number does not make sense in this context, so this is not viable)

4. 8 varsity cheerleaders and 8 junior varsity cheerleaders: Total = 8 + 8 = 16 (not viable)

The viable solutions are:

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