Out of a group of 600 students taking computer,mathematics or physics,there is no student taking both computer and mathematics.Every student takes computer or mathematics.150 takes physics and mathematics and 250 take only one of the subjects.Find 1) the number of students taking computer and physics. 2) the number of students taking physics.
Have you tried with a Venn diagram
Draw 2 circles, C and M for Computer and Math, which do NOT intersect.
Draw a third circle P for Physics, which intersects the two others.
You should have two intersections, C with P and M with P.
Enter 150 into M AND P
You will now have to introduce some variables.
Use the fact that all 600 take computers OR math
and since there is no overlap, let number of students taking Math be x, then the part taking only Math is x-150
See if you can continue in this fashion
btw, good luck to the computer students that don't take math.
To find the number of students taking computer and physics, we need to follow a logical process and analyze the given information.
Let's break down the information provided:
1. Out of the 600 students, there are no students taking both computer and mathematics. This means the groups of students studying computer and mathematics are mutually exclusive.
2. Every student takes either computer or mathematics, implying that there are no students who do not study either of these subjects. So the total number of students studying computer or mathematics is equal to the total number of students in the group, which is 600.
3. 150 students study both mathematics and physics. These students are counted in both the mathematics and physics groups, so we need to subtract them once to avoid double counting.
4. 250 students study only one subject, which could be computer or mathematics, but not both.
Now, we can calculate the number of students taking each subject:
1) To find the number of students taking computer and physics, we need to subtract the students who take only one subject from the total number of students taking physics: 150 (students taking math and physics) + 250 (students taking only one subject) = 400. Therefore, there are 400 students taking physics.
2) To find the number of students taking physics, we already calculated that there are 400 students studying physics.
Hence, the answers to the questions are as follows:
1) The number of students taking computer and physics is 400.
2) The number of students taking physics is also 400.