4. After the freshmen enroll, the choir, track team, and dance team recruit a total of 100 students. If the choir recruits twice as many people as the track team, and the dance team has 10 more people than the choir, then the dance team recruits ( ) students. (Note: Each person can only join one team)
(A) 30
(B) 42
(C) 46
(D) 52
【Answer】C
【Question Type】Geometry: Cutting and Supplementing
【Analysis】Let the number of track and field team members be $a$ people, then the number of choir members is $2a$ people, and the number of dance team members is $(2a+10)$ people, $2a+a+2a+10=100$, then $a=18$, so the number of dance team members is $18 \times 2+10=46$ people.