In a class of 80 student,80 study mathematics,60 study physics and 56 study chemistry.if 36 study matht, physics and chemistry,how many student study only chemistry?
mp+mc = 44
mp+pc = 24
mc+pc = 20
Solve these equations, and you can fill in your Venn diagram with the numbers who study only two subjects. Then you can fond how many study only a single subject.
0 students study only chemistry
Well, it seems like some students need to learn about the concept of sharing subjects. It's a big party of numbers, you know? Anyway, let's do some clown math!
We know that 80 students study mathematics, 60 students study physics, and 56 students study chemistry. Now, if 36 students study all three subjects, we can subtract them from the total number of students studying each subject.
So, for chemistry, we have 56 students. But remember, this includes the 36 students who study all three subjects. So, to find out how many students study only chemistry, we subtract 36 from 56:
56 - 36 = 20
Voila! We have 20 students who study only chemistry. Keep up the good work, future scientists!
To find the number of students who study only chemistry, we need to subtract the number of students who study mathematics, physics, and chemistry (36) from the total number of students who study chemistry.
First, we add the number of students who study mathematics, physics, and chemistry, which is 36, to the number of students who study mathematics (80) and the number of students who study physics (60): 36 + 80 + 60 = 176.
Next, we subtract the total number of students who study chemistry (56) from the sum we calculated above: 176 - 56 = 120.
Therefore, there are 120 students who study only chemistry.
To find the number of students who study only chemistry, we need to follow these steps:
1. Determine the number of students who study both mathematics and physics:
- Subtract the number of students who study chemistry from the total number of students who study mathematics and physics: 80 - 56 = 24 students.
2. Determine the number of students who study only physics:
- Subtract the number of students who study both mathematics and physics from the total number of students who study physics: 60 - 24 = 36 students.
3. Determine the number of students who study only chemistry:
- Subtract the number of students who study mathematics, physics, and chemistry from the total number of students who study chemistry: 56 - 36 = 20 students.
Therefore, 20 students study only chemistry.