Question

Determine the ratio of the number of students who play Football to the number of students who play Basketball in a survey of 120 students from the following table:

Category	Number
Play Football and Basketball	25
Play Football but not Basketball	45
Play Basketball but not Football	35
Play neither sport	15

• A. 6 : 7
• B. 7 : 5
• C. 7 : 6
• D. 5 : 7

Answer 1

Answer:

C. 7 : 6

From the table:

• Students who play Football
  = Play Football and Basketball + Play Football but not Basketball
  = 25 + 45 = 70
  

• Students who play Basketball
  = Play Football and Basketball + Play Basketball but not Football
  = 25 + 35 = 60
  

Required ratio:

70:60 = 7:6
$\boxed{7:6}$