In the class of 130 students, a class test for two subjects physics and chemistry was conducted.(x+40) students passed in physics and (x+30). students passed in chemistry and no students failed in both subjects. If 60 students passed in both student, then ,what is the number of students passed in only physics?
Question
In the class of 130 students, a class test for two subjects physics and chemistry was conducted.(x+40) students passed in physics and (x+30). students passed in chemistry and no students failed in both subjects. If 60 students passed in both student, then ,what is the number of students passed in only physics?
Solution
Let's solve the problem step by step:
- Let's assume the number of students who passed in physics is x.
- According to the given information, (x+40) students passed in physics and (x+30) students passed in chemistry.
- It is also mentioned that no students failed in both subjects, which means all the students who passed in physics also passed in chemistry.
- Additionally, it is given that 60 students passed in both subjects.
- To find the number of students who passed in only physics, we need to subtract the number of students who passed in both subjects from the total number of students who passed in physics.
- So, the number of students passed in only physics would be (x+40) - 60.
- Simplifying this expression, we get x - 20.
Therefore, the number of students passed in only physics is x - 20.
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