Mr. Mitchell needs to order new balls for the Lincoln School students to use at recess. Mr. Mitchell asks many students what types of balls he should order. One-third of the students want Mr. Mitchell to order soccer balls. One-third of the students want Mr. Mitchell to order basketballs. One-sixth of the students want Mr. Mitchell to order footballs. Fifteen students want Mr. Mitchell to order kickballs. How many students does Mr. Mitchell ask about ordering new balls for recess? How many students want each kind of ball? Show all your mathematical thinking.