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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 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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