To find a viable solution for allocating 12 cheerleaders between the varsity and junior varsity squads, we need to consider the options and see which allocations add up to 12 cheerleaders without exceeding any limits or resulting in negative numbers.
Let's evaluate each option:
-
0 varsity cheerleaders and 12 junior varsity cheerleaders:
Total = 0 + 12 = 12 (Viable) -
8 varsity cheerleaders and 8 junior varsity cheerleaders:
Total = 8 + 8 = 16 (Not viable, exceeds 12) -
15 varsity cheerleaders and −3 junior varsity cheerleaders:
Total = 15 + (-3) = 12 (Not viable, cannot have a negative number of cheerleaders) -
8 varsity cheerleaders and 4 junior varsity cheerleaders:
Total = 8 + 4 = 12 (Viable)
The viable solutions are:
- 0 varsity cheerleaders and 12 junior varsity cheerleaders
- 8 varsity cheerleaders and 4 junior varsity cheerleaders
Therefore, the viable solutions from the provided options are:
- 0 varsity cheerleaders and 12 junior varsity cheerleaders
- 8 varsity cheerleaders and 4 junior varsity cheerleaders
Both respond with the same total of 12 cheerleaders, so either one can be considered a viable solution.