Question

There are 1800 students in a school. 800 selected football, 750 selected basketball and the remaining selected cricket.Find the ratio of the total number of students to the number of students who selected cricket or football.

• A. $\frac{9}{7}$
• B. $\frac{10}{7}$
• C. $\frac{11}{7}$
• D. $\frac{12}{7}$

Answer 1

The correct option is D $\frac{12}{7}$

Total number of students in the school = 1800
Number of students who chose football = 800
Number of students who chose basketball = 750
Number of students who chose cricket = 1800 - (800 + 750)
= 1800 - 1550 = 250

Total students who chose cricket or football = 250 + 800 = 1050.
So, the ratio of the total number of students to the number of students who selected cricket or football = $\frac{Totalnumberofstudents}{Numberofstudentswhochosecricketorfootball}$

$=\frac{1800}{1050}=\frac{12}{7}$

Therefore, the required ratio is 12:7.