In an examination 60 candidates passed intergrated science or mathematics if 15 passed both subjects and 9 more passed mathematics than science 1:find the number of candidates who passed in each subjects 2: the probability that a student passed exactly one subject
If x passed science, then
x + x+9 - 15 = 60
60-15 = 45 passed only one subject
x+x+9=60
To find the number of candidates who passed in each subject, we can solve the problem using a system of equations.
Let's denote the number of candidates who passed integrated science as "x" and the number of candidates who passed mathematics as "y".
1. From the information given, we know that a total of 60 candidates passed either integrated science or mathematics.
Therefore, we can write the equation:
x + y = 60 (Equation 1)
2. We also know that 15 candidates passed both subjects. So, we can write another equation for the overlapping part:
x + 15 = y (Equation 2)
3. Additionally, we are told that 9 more candidates passed mathematics than science.
This implies:
y = x + 9 (Equation 3)
Now, we have a system of three equations (Equations 1, 2, and 3) with three variables (x, y, and the overlap of 15). We can solve these equations simultaneously to find the values of x and y.
First, let's substitute the value of y from Equation 2 into Equation 3:
x + 15 = x + 9
By simplifying:
15 - 9 = x - x
So, 6 = 0, which is not possible.
This shows us that there is an inconsistency in the information provided. The problem is not solvable with the given information.
Therefore, we cannot determine the exact number of candidates who passed in each subject.
As for the probability that a student passed exactly one subject, we cannot calculate it without knowing the total number of students in the examination.