In first year business degree course of 560 students, 200 of them are taking
Maths, 350 are taking Computer Science and 70 are not taking either Computer
Science or Maths.
How many are taking Computer Science only?
To find the number of students taking Computer Science only, we need to subtract the number of students taking both Computer Science and Maths from the total number of students taking Computer Science.
Let's denote:
A = number of students taking Computer Science
B = number of students taking Maths
C = number of students taking both Computer Science and Maths
D = number of students taking neither Computer Science nor Maths
Given that A = 350 students, B = 200 students, and D = 70 students, we can set up the following equation:
A + B - C + D = total number of students
Substituting in the known values, we have:
350 + 200 - C + 70 = 560
Simplifying the equation:
620 - C = 560
Subtracting 620 from both sides:
-C = -60
Multiplying both sides by -1 to solve for C:
C = 60
So, there are 60 students taking both Computer Science and Maths.
Now, to find the number of students taking Computer Science only, we can subtract C (students taking both subjects) from A (students taking Computer Science):
A - C = 350 - 60 = 290
Therefore, there are 290 students taking Computer Science only.