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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

A6 : 7

B7 : 5

C7 : 6

D5 : 7

Answer:

C. 7 : 6

Read Explanation:

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
7:6\boxed{7:6}


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