A class has fewer than 30 students. Exactly 2/3 of the students in the class own a football. Exactly 7/8 of the students in the class own football boots. How many students are in the class? A: 24. Why? A class has fewer than 30 students. Exactly 2/3 of the students in the class own a football. Exactly 7/8 of the students in the class own football boots. How many students are in the class? A: 24. Why? @Mathematics

Question

A class has fewer than 30 students. Exactly 2/3 of the students in the class own a football. Exactly 7/8 of the students in the class own football boots. How many students are in the class? A: 24. Why?  A class has fewer than 30 students. Exactly 2/3 of the students in the class own a football. Exactly 7/8 of the students in the class own football boots. How many students are in the class? A: 24. Why?  @Mathematics

anonymous · Answer

I'm assuming its because the only multiple of both 3 and 8 which is under 30 is 24.

unklerhaukus · Answer

no other number of student under 30 would give probabilities in whole fractions
$$\sum_{i}^{}P_i=1$$
sum of probabilities equals one