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?
2 Explanations
▲
1
Since 50 is 100/2, the given percentages divided by 2 correspond to the # of researchers in each group.
Current Situation:
# researchers in Team A: 20
# researchers in Team B: 30
Desired Situation by researchers:
# researchers prefer Team A: 35
# researchers prefer Team B: 15
Since the problem ask as for the "lowest # of researchers unhappy with their respective team"(extreme situation), we can operate:
2 Explanations