number of students in a class = 36
number playing cricket = 16
number playing football = 25
number playing both cricket and football = x
write an equation for x
how many students play both football and cricket
The equation would be 16 + 25 = x and you solve the equation by adding 16 and 15 together which gives you 41!
To find the number of students who play both cricket and football, we need to subtract the number of students only playing cricket and the number of students only playing football from the total number of students in the class.
Let's start by calculating the number of students only playing cricket. We know that there are 16 students playing cricket, so the equation for the number of students only playing cricket is:
Number of students only playing cricket = Number of students playing cricket - Number of students playing both cricket and football
Now, let's calculate the number of students only playing football. We know that there are 25 students playing football, so the equation for the number of students only playing football is:
Number of students only playing football = Number of students playing football - Number of students playing both cricket and football
Finally, to find the number of students playing both cricket and football (x), we subtract the number of students only playing cricket and the number of students only playing football from the total number of students in the class:
x = Total number of students in the class - Number of students only playing cricket - Number of students only playing football
Substituting the given values, the equation for x is:
x = 36 - (16 + 25)
Simplifying this equation, we get:
x = 36 - 41
Therefore,
x = -5
However, it is not possible to have a negative number of students playing both cricket and football. This suggests that there may be an error in the given information. Please double-check the numbers provided.