tristan is in charge of cheerleading tryouts for their school. they need to pick 12 new cheerleaders to…

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 viable solution? (1 point)\n\n○ 8 varsity cheerleaders and 8 junior varsity cheerleaders\n\n○ 15 varsity cheerleaders and - 3 junior varsity cheerleaders\n\n○ 8 varsity cheerleaders and 4 junior varsity cheerleaders\n\n○ 0 varsity cheerleaders and 12 junior varsity cheerleaders

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 viable solution? (1 point)\n\n○ 8 varsity cheerleaders and 8 junior varsity cheerleaders\n\n○ 15 varsity cheerleaders and - 3 junior varsity cheerleaders\n\n○ 8 varsity cheerleaders and 4 junior varsity cheerleaders\n\n○ 0 varsity cheerleaders and 12 junior varsity cheerleaders

Answer

Explanation:

Step1: Check the sum of varsity and junior - varsity cheerleaders for each option

We know that the total number of new cheerleaders to be picked is 12. So we need to check which option has the sum of varsity and junior - varsity cheerleaders equal to 12 and non - negative number of cheerleaders in each squad.

Step2: Analyze Option 1

For 8 varsity and 8 junior varsity cheerleaders, (8 + 8=16\neq12).

Step3: Analyze Option 2

For 15 varsity and - 3 junior varsity cheerleaders, the number of junior varsity cheerleaders cannot be negative, so this is not valid.

Step4: Analyze Option 3

For 8 varsity and 4 junior varsity cheerleaders, (8 + 4 = 12).

Step5: Analyze Option 4

For 0 varsity and 12 junior varsity cheerleaders, (0+12 = 12).

Answer:

C. 8 varsity cheerleaders and 4 junior varsity cheerleaders D. 0 varsity cheerleaders and 12 junior varsity cheerleaders