Every athlete in a group of 60 female varsity athletes at Greenwich High School either runs track, plays soccer, or does both. If one-third of the athletes in this group who play on the soccer team also run on the track team, and one-half of the athletes in this group who run on the track team also play on the soccer team, which of the following statements must be true?
A. This group contains 40 soccer players.
B. This group contains 20 athletes who play soccer but do not run track.
C. This group contains 20 athletes who play both track and soccer.
D. The number of soccer players in this group is 15 greater than the number of track team members in this group.
Answer:D
Every athlete in a group of 60 female varsity athletes at Greenwich High School either runs track, plays soccer, or does both. If one-third of the athletes in this group who play on the soccer team also run on the track team, and one-half of the athletes in this group who run on the track team also play on the soccer team, which of the following statements must be true?
A. This group contains 40 soccer players. B. This group contains 20 athletes who play soccer but do not run track. C. This group contains 20 athletes who play both track and soccer. D. The number of soccer players in this group is 15 greater than the number of track team members in this group.
Explanation: D