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.
Given:
Out of 1800 students in the school, 750 opted for basketball, 800 opted for cricket and the remaining opted for table tennis.
To do:
We have to find the ratios of the given statements if each student can obtain only one game.
Solution:
Number of students who opted for basketball in the school $=750$
Number of students who opted for cricket in the school $=800$
Number of students who opted for table tennis in the school $=1800-(750+800)$
$=1800-1550$
$=250$
(a) The ratio of the number of students who opted for basketball to the number of students who opted for table tennis $ =\frac{750}{250}$
$=\frac{3}{1}$
The ratio of the number of students who opted for basketball to the number of students who opted for table tennis is $3 : 1$.
(b) The ratio of the number of students who opted for cricket to the number of students opting for basketball $=\frac{800}{750}$
$=\frac{16}{15}$
The ratio of the number of students who opted for cricket to the number of students opting for basketball is $16 : 15$.
(c) The ratio of the number of students who opted for basketball to the total number of students $=\frac{750}{1800}$
$=\frac{25}{60}$
$=\frac{5}{12}$
The ratio of the number of students who opted for cricket to the number of students opting for basketball is $5 : 12$.
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