In a exam 80% students passed in accountancy, 85% paased in mathematic ,75% passed in both subject. If 45 students fail in boths subject than what is the total number of students?
the number who passed either or both is
.80+.85-.75 = 0.90
So, 10% of x students failed both:
45 = 0.10x
. . .
To find the total number of students, we need to consider the information provided and use a formula.
Let's break down the given information:
- 80% of students passed in accountancy.
- 85% of students passed in mathematics.
- 75% of students passed in both subjects.
- 45 students failed in both subjects.
To find the total number of students, we can use the formula:
Total number of students = (Number of students who passed in accountancy + Number of students who passed in mathematics - Number of students who passed in both subjects) / (1 - Percentage of students who failed in both subjects)
Now let's calculate it step by step:
Step 1:
Find the number of students who passed in accountancy:
Percentage of students who passed in accountancy = 80%
So, the number of students who passed in accountancy = (80/100) * Total number of students
Step 2:
Find the number of students who passed in mathematics:
Percentage of students who passed in mathematics = 85%
So, the number of students who passed in mathematics = (85/100) * Total number of students
Step 3:
Find the number of students who passed in both subjects:
Percentage of students who passed in both subjects = 75%
So, the number of students who passed in both subjects = (75/100) * Total number of students
Step 4:
Find the number of students who failed in both subjects:
Number of students who failed in both subjects = 45
Step 5:
Substitute the values into the formula to find the total number of students:
Total number of students = [(80/100) * Total number of students + (85/100) * Total number of students - (75/100) * Total number of students] / (1 - (45/Total number of students))
Simplifying the equation, we get:
Total number of students = (160 + 170 - 150) / (1 - (45/Total number of students))
Now, we can solve this equation to find the total number of students.