2410.21 – Tennis Team
A mixed tennis team of 12 persons has one-third women and two-thirds men. What is the smallest number of additional people that should be recruited so that the team as a whole is 20 percent women?
At present there are 8 men and 4 women. Once we add x players, the women will be 20 percent, or 1/5. Since the women are now 33 1/3 percent, we will reduce their percentage by adding x men. Thus:
So 8 men must be recruited. (Why decrease the percentage of women in the first place?)