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.
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0 varsity cheerleaders and 12 junior varsity cheerleaders: Total = 0 + 12 = 12 (viable)
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8 varsity cheerleaders and 4 junior varsity cheerleaders: Total = 8 + 4 = 12 (viable)
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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)
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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