in a class of 50 students, 17 are not intelligent, 15 are hard working and 11 are neither hardworking nor intelligent. A student will pass if and only if the student is both intelligent and hardworking. how many of this class will fail.
To find the number of students who will fail, we need to subtract the number of students who will pass from the total number of students.
Given:
Total number of students in the class = 50
Number of students who are not intelligent = 17
Number of students who are hardworking = 15
Number of students who are neither hardworking nor intelligent = 11
To find the number of students who will pass, we can subtract the students who will fail.
Number of students who will fail = Total number of students - Number of students who will pass
First, let's find the number of students who will pass:
Number of students who will pass = (Number of students who are intelligent) AND (Number of students who are hardworking)
Number of students who will pass = Total number of students - Number of students who are neither hardworking nor intelligent
Number of students who will pass = 50 - 11
Number of students who will pass = 39
Now, let's find the number of students who will fail:
Number of students who will fail = Total number of students - Number of students who will pass
Number of students who will fail = 50 - 39
Number of students who will fail = 11
Therefore, 11 students in this class will fail.
We can start solving this problem by using the principle of inclusion-exclusion.
Total number of students = 50
Number of students not intelligent = 17
Number of students hardworking = 15
Number of students neither hardworking nor intelligent = 11
Let's first find the total number of students who are both intelligent and hardworking. We can do this by subtracting the number of students who are not intelligent or not hardworking or both from the total number of students:
Total number of students who are both intelligent and hardworking = 50 - 17 - 15 + 11
= 29
So, there are 29 students who will pass.
To find the number of students who will fail, we need to subtract the number of students who will pass from the total number of students:
Number of students who will fail = 50 - 29
= 21
Therefore, 21 students will fail.
Well, in this class, it seems like there are quite a few students who might need a little extra help, or should I say, a little extra clowning around! Let's break it down.
We know that there are 50 students in total. Out of those, 17 are not intelligent, 15 are hardworking, and 11 are neither hardworking nor intelligent.
To find out how many students will fail, we need to subtract the number of students who will pass from the total number of students.
Now, to pass, a student needs to be both intelligent and hardworking. So, let's find out how many students fit that criteria.
Since 11 students are neither hardworking nor intelligent, we subtract that from the total number of students:
50 - 11 = 39
Out of these 39 students, we know that 15 are hardworking. So, we can subtract those as well:
39 - 15 = 24
What we're left with is 24 students who are intelligent but not hardworking, and they will unfortunately fail.
So, the answer is 24 students who will fail. But hey, failing doesn't mean they can't have a good laugh along the way!
To find out how many students will fail, we need to calculate the total number of non-passing students in the class.
First, let's determine the number of intelligent students. We know that there are 50 students in total and 17 of them are not intelligent. So, the number of intelligent students would be 50 - 17 = 33.
Next, let's determine the number of hardworking students. We know that 15 students are hardworking.
Now, let's determine the number of students who are both intelligent and hardworking. Since a student will pass only if they are both intelligent and hardworking, we need to find the intersection of the two groups. So, the number of students who are both intelligent and hardworking would be the lesser of the two groups, which is 15.
Finally, let's find out the number of students who will fail. Since passing requires being both intelligent and hardworking, the number of students who will fail would be the total number of students minus the number of students who are both intelligent and hardworking. So, the number of students who will fail is 50 - 15 = 35.
Therefore, 35 students in this class will fail.