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:
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8 varsity cheerleaders and 4 junior varsity cheerleaders: This totals to 8 + 4 = 12 cheerleaders. Viable solution.
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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.
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0 varsity cheerleaders and 12 junior varsity cheerleaders: This totals to 0 + 12 = 12 cheerleaders. Viable solution.
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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.