Question

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

Answer 1

Answer:

The lowest possible number of researchers who will not be assigned to the team they prefer is:

- 15 researchers.

Explanation:

The operation can be solved in the next form:

The number of researchers: 50.

Team A members: 40% = 20 researchers.

Team B members: 60% = 30 researchers.

Researchers that prefer team A: 70% = 35.

Researchers that prefer team B: 30% = 15.

Assuming that all the members in team A, 20 researchers, prefer that team and the researchers that prefer team B are in it, we must do a subtraction:

Researchers that prefer the Team A - Team A members = 35 - 20 = 15 researchers.