Question

out of 150 students appeared in an examination 60% of the students passed in math 50% in Science and 20% in both subjects how many students where failed in both subjects ?by using Venn diagram find the number of student Wawa passed in maths only .​

Answer 1

Answer:

5000 students

Step-by-step explanation:

Let total number of students appeared in the exams is x.

20% of x have failed in both maths and science.

Here,in maths 60% of students passed.

%ag of students failed in maths= 40%

%ag of students failed in math — % of students failed in both maths and science = students passed in science but failed in maths i.e. 40–20 = 20%.

Likewise as 70% of students passed science

So 30% failed in science.

And Students failed in science only but passed in maths= %ag of students failed in science- % of students failed in both maths and science.

i.e. 30–20= 10%.

Given 2500 number of students passed in both maths and science = 100–(students failed in both maths and science+ students failed only in maths and passed in science+ students failed only in science but passed in maths)%

= 100–(20+20+10)= 50% of students passed both.

50% of x = 2500

50x/100= 2500

=> x= 5000.

So total number of students appeared in exam is 5000 in number