Question:
Out of 25 children, 10 children like science subject and 15 children like English. 7 children like both the subjects. How many students don't like any subject?
Answer:
7 children.
Explanation:
This can be solved by drawing a Venn diagram. The diagram is attached to this response.
Given:
Total number of children = 25
Number that like both subjects = 7
Number that like science = 10
Number that like English = 15
Unknown
Let the number of children that like science alone be s
Let the number of children that like English alone be e
Let the number of children that do not like any subject be x
s = Number that like science - number the like both subjects.
s = 10 - 7
s = 3
e = Number that like English - number the like both subjects.
e = 15 - 7
e = 8
Total number of children = Number that like science alone + Number that like English alone + Number that like both subjects + Number that do not like any subject.
This implies that;
25 = 3 + 8 + 7 + x
Solving for x gives;
25 = 18 + x
x = 25 - 18
x = 7
Therefore, 7 children do not like any subject.