Question

Out of $30$ students in a class, $6$ like football, $12$ like cricket and remaining like tennis. Find the ratio of number of students like football to the number of students liking tennis.

Answer 1

We have,

Total number of students$=30$

Number of students who like football$=6$

Number of students who like cricket$=12$

Number of students who like tennis$=30-(6+12)=30-18=12$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{liking}\mathrm{football}\mathrm{to}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{students}\mathrm{liking}\mathrm{tennis}& =& \frac{\mathrm{Number}\mathrm{of}\mathrm{students}\mathrm{who}\mathrm{like}\mathrm{football}}{\mathrm{Number}\mathrm{of}\mathrm{students}\mathrm{who}\mathrm{like}\mathrm{tennis}}\\ & =& \frac{6}{12}\\ & & \mathrm{Dividing}\mathrm{number}\mathrm{and}\mathrm{denominator}\mathrm{by}\mathrm{their}\mathrm{HCF}\mathrm{i}.\mathrm{e}.6\\ & =& \frac{1}{2}\\ & =& 1:2\end{array}$Hence, required ratio is $1:2$.