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In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?  35 48 60 22

Question

In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?  35 48 60 22

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Solution

To find the number of students who have offered Mathematics alone, we need to subtract the number of students who have taken Mathematics with other subjects from the total number of students who have taken Mathematics.

Here's how:

  1. Total number of students who have taken Mathematics = 100
  2. Number of students who have taken Mathematics and Physics = 30
  3. Number of students who have taken Mathematics and Chemistry = 28
  4. Number of students who have taken Mathematics, Physics, and Chemistry = 18

We need to subtract the students who have taken Mathematics with other subjects (steps 2, 3, and 4) from the total number of students who have taken Mathematics (step 1).

So, Mathematics alone = Total Mathematics - (Mathematics and Physics + Mathematics and Chemistry - Mathematics, Physics, and Chemistry)

= 100 - (30 + 28 - 18)

= 100 - 40

= 60

So, 60 students have offered Mathematics alone.

This problem has been solved

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