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Out of 1800 students in a school, 750 opted basketball, 800 opted  cricket and remaining opted table tennis. If a student can opt only one game,  find the ratio of
(a) Number of students who opted basketball to the number of students  who opted table tennis.
(b) Number of students who opted cricket to the number of students  optingbasketball.
(c) Number of students who opted basketball to the  total number of students.
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Question

Out of 1800 students in a school, 750 opted basketball, 800 opted  cricket and remaining opted table tennis. If a student can opt only one game,  find the ratio of
(a) Number of students who opted basketball to the number of students  who opted table tennis.
(b) Number of students who opted cricket to the number of students  optingbasketball.
(c) Number of students who opted basketball to the  total number of students.

Answer

(a)3:1
(b) 16:15
(c) 5:12
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Solution

Total number of students \(={1800}\)

Number of students who opted basketball\(={750}\) 

Number of students who opted cricket \(={800}\)

Number of students who opted table tennis \(={1800}-{750}-{800}={250}\)

(a) Ratio of number of students who opted basketball to the number of students who opted table tennis 

\(=\frac{{750}}{{250}}=\frac{{3}}{{1}}={3}:{1}\)

(b) Ratio of number of students who opted cricket to the number of students opting basketball

\(=\frac{{800}}{{750}}=\frac{{16}}{{15}}={16}:{15}\)

(c) Ratio of number of students who opted basketball to the total number of students

\(=\frac{{750}}{{1800}}=\frac{{15}}{{36}}=\frac{{5}}{{12}}\)
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