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:
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0 varsity cheerleaders and 12 junior varsity cheerleaders - This option totals 12 cheerleaders. Viable.
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8 varsity cheerleaders and 4 junior varsity cheerleaders - This option also totals 12 cheerleaders (8 + 4 = 12). Viable.
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15 varsity cheerleaders and -3 junior varsity cheerleaders - This option does not work because you cannot have a negative number of cheerleaders. Not viable.
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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.