There are 11 teachers who teach Mathematics or Physics in a school. Of these, 7 teach Mathematicsand 3 teach both Mathematics and Physics. How many teach Physics?
Answers
Given,
Total number of teachers = 11
Total teacher who teaches mathematics = 7
Total teacher who teaches both mathematics and physics = 3
To find,
The total number of teachers that teaches physics.
Solution,
To solve this mathematical problem we have to apply the following mathematical formula,
Total teachers = Total teacher who teaches maths only + Total teacher who teaches physics only + Total teacher who teaches both maths and physics
Total teacher who teaches maths only
= Total maths teacher - Teachers who teaches both maths and physics
= 7 - 3
= 4
By putting the values we get that,
11 = 4 + Physics only teacher + 3
Physics only teacher = 11-7 = 4
Now,
Total physics teacher = (Total teacher who teaches both physics and maths + Total teacher who teaches only physics) = (3+4) = 7
Hence, a total of 7 teachers teaches physics.