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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 reasonable solution?

(1 point)
Responses

8 varsity cheerleaders and 4 junior varsity cheerleaders
8 varsity cheerleaders and 4 junior varsity cheerleaders

0 varsity cheerleaders and 12 junior varsity cheerleaders
0 varsity cheerleaders and 12 junior varsity cheerleaders

15 varsity cheerleaders and -3 junior varsity cheerleaders
15 varsity cheerleaders and -3 junior varsity cheerleaders

8 varsity cheerleaders and 8 junior varsity cheerleaders

1 answer

The reasonable solution from the options given is:

8 varsity cheerleaders and 4 junior varsity cheerleaders.

This option fits the requirement of selecting a total of 12 cheerleaders, with a proper distribution between the varsity and junior varsity squads.

The other options are not reasonable because:

  • 0 varsity and 12 junior varsity cheerleaders: This option works but does not utilize a mix as requested.
  • 15 varsity and -3 junior varsity cheerleaders: This option is not reasonable as it involves a negative number of cheerleaders, which is not possible.
  • 8 varsity and 8 junior varsity cheerleaders: This totals 16 cheerleaders, which exceeds the requirement.

Therefore, the most reasonable solution is indeed 8 varsity cheerleaders and 4 junior varsity cheerleaders.