SOLUTION: 1.In a class of 30 students, 20 students like mathematics, 14 students like computer science, 6 students like neither. How many students like both mathematics and computer science?

Algebra.Com
Question 1049693: 1.In a class of 30 students, 20 students like mathematics, 14 students like computer science, 6 students like neither. How many students like both mathematics and computer science?
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
1. In a class of 30 students, 20 students like mathematics, 14 students like computer science, 6 students like neither.
How many students like both mathematics and computer science?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

20 + 14 - x = 30-6,

34 - x = 24,

x = 34 - 24 = 10.

Answer.  10 students like both mathematics and computer science.

For details see the lesson
    - Counting elements in sub-sets of a given finite set
in this site.



RELATED QUESTIONS

In a class of 33 students, 20 like rihanna, 10 like rick ross, 3 like neither. (a) How... (answered by solver91311)
In a class , 9 students like hockey and 11 students like soccer. of these ,5 students... (answered by Jstrasner)
There are 30 students in a class. 17 like basketball, 22 like football, and 12 like both. (answered by ewatrrr)
in a computer class of 42 students, 28 like to work on the hardware, 24 like to work on... (answered by CubeyThePenguin)
According to students survey, 23 students like history, 26 students liked English, 25... (answered by ikleyn)
1/5 of the students in a class and an additional 3 students like badminton. 1/3 of the... (answered by ikleyn)
A class has 30 students. 21 students like math and 9 like english . If 16 students like... (answered by Edwin McCravy)
A survey conducted among 150 high school students revealed that * 68 students like... (answered by CPhill,ikleyn)
Dennis want to solve the problem arithmetically. In one gym class , 20 students like... (answered by Boreal)