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 opting basketball.
(c) Number of students who opted basketball to the total number of students

Answer 1

Total number of students = 1800
Number of students opted basketball = 750
Number of students opted cricket = 800
Therefore, number of students opted tennis = 1800 – (750 + 800) = 250

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(a) Ratio of students opted basketball to that of opted table tennis = \(\frac{750}{250}\)
\(=\frac{ 3}{1}\)
\(= 3:1\)

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(b) Ratio of students opted cricket to students opted basketball =\(\frac{ 800}{750}\)
\(= \frac{16}{15}\)
\(= 16:15\)

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(c) Ratio of students opted basketball to total no. of students = \(\frac{750}{1800}\)
\(= \frac{5}{12}\)
\(= 5:12\)

Answer 2

Total number of students: 1800 
Number of students who chose basketball: 750 
Number of students who chose cricket: 800 
Number of students who chose table tennis: Total number of students - Number of basketball students - Number of cricket students
\(= 1800 - 750 - 800\)
\(= 250\)
(a) Ratio of basketball students to table tennis students:
= \(\frac{\text{Number of basketball students}}{\text{Number of table tennis students}}\)
= \(\frac{750 }{ 250}\)
=\(\frac{ 3 }{ 1}\)
So, the ratio of basketball students to table tennis students is 3:1.
(b) Ratio of cricket students to basketball students:
= \(\frac{\text{Number of cricket students}}{\text{Number of basketball students}}\)
= \(\frac{800 }{ 750}\)
= \(\frac{16 }{ 15}\)
Thus, the ratio of cricket students to basketball students is 16:15.
(c) Ratio of basketball students to total students:
= \(\frac{\text{Number of basketball students}}{\text{Total number of students}}\)
= \(\frac{750 }{ 1800}\)
= \(\frac{5 }{ 12}\)
Hence, the ratio of basketball students to total students is 5:12.