Class 11 Exam  >  Class 11 Questions  >  In a class of 35 students 17 have taken mathe... Start Learning for Free
In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both?
Most Upvoted Answer
In a class of 35 students 17 have taken mathematics but not economics ...
Arbaaz, check your question again and again and becz there is not sufficient data are given in the question and then you should edit it?
Community Answer
In a class of 35 students 17 have taken mathematics but not economics ...
Solution:

Given:
- Total number of students = 35
- Number of students who have taken mathematics but not economics = 17

Let's denote:
- Number of students who have taken both mathematics and economics as "x"
- Number of students who have taken economics but not mathematics as "y"

Step 1:
We can represent the given information in a Venn diagram as shown below.



Step 2:
From the Venn diagram, we can write the following equations:

- Number of students who have taken mathematics = 17 + x
- Number of students who have taken economics = x + y
- Total number of students = 17 + x + y + (students who have taken neither)

Since each student has taken mathematics or economics or both, we know that the total number of students who have taken either mathematics or economics is equal to the total number of students.

Therefore, we can write:

- Number of students who have taken either mathematics or economics = 17 + x + y

Step 3:
Substituting the equations from Step 2 into the equation above, we get:

- 17 + x + y = 35

Simplifying, we get:

- x + y = 18

Step 4:
Using the Venn diagram and the equations from Step 2, we can solve for "x" and "y" as follows:

- Number of students who have taken both mathematics and economics (x) = (Number of students who have taken mathematics) - (Number of students who have taken mathematics but not economics)
= (17 + x) - 17
= x

Therefore, x = Number of students who have taken both mathematics and economics = 9

- Number of students who have taken economics but not mathematics (y) = (Number of students who have taken economics) - (Number of students who have taken both mathematics and economics)
= (x + y) - x
= y

Therefore, y = Number of students who have taken economics but not mathematics = 9

Step 5:
The final answer is:

- Number of students who have taken both mathematics and economics = 9
- Number of students who have taken economics but not mathematics = 9

Therefore, there are 9 students who have taken both mathematics and economics, and 9 students who have taken economics but not mathematics.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Top Courses for Class 11

In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both?
Question Description
In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both?.
Solutions for In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? defined & explained in the simplest way possible. Besides giving the explanation of In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both?, a detailed solution for In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? has been provided alongside types of In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? theory, EduRev gives you an ample number of questions to practice In a class of 35 students 17 have taken mathematics but not economics find the number of students who have taken both mathematics and economics and the number of students who have taken economics but not mathematics if it is given that each student has taken mathematics or Economics or both? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev