in a school half of students play badminton 1/4 play volleyball 1/8 play tennis 1/16 play chess and remaining go for swimming if the number of students playing volleyball is 160 how many students play chess?
First, you have to find the total number of students in the school.
If x = numbers of students and 1 / 4 students play volleyball then:
x / 4 = 160
x = 4 ∙ 160 = 640
There are 640 students in the school.
1 / 16 play chess
x / 16 = 640 / 16 = 40 sudents play chess
20
To find the number of students playing chess, we need to calculate the proportion of students playing chess compared to the total number of students playing all the mentioned sports.
Let's assume the total number of students in the school is "x".
The number of students playing volleyball is given as 160, which is 1/4th of the total number of students playing all sports. So we can set up the equation:
1/4 * x = 160
To solve for x, we will multiply both sides of the equation by 4:
x = 160 * 4
x = 640
Now, we know the total number of students (x) in the school is 640.
The number of students playing chess is given as 1/16th of the total number of students playing all sports. So we can set up the equation:
1/16 * 640 = y
To find y, we will multiply both sides of the equation by 16:
16 * (1/16 * 640) = y
y = 40
Therefore, the number of students playing chess is 40.