In a class of 40 students,the number of students who study history is 10 more than those who study French,if 8 students study both subject,then how many study French and how many study history ?

8 answers

H = the number of the number of who study history

F = the number of the number of who study French

If 8 students study both subject and the class has 40 students then:

40 - 8 = 32 students who study French, or History.

F + H = 32

The number of students who study history is 10 more than those who study French means:

H = F + 10

Replace thin in equation:

F + H = 32

F + F + 10 = 32

2 F + 10 = 32

2 F = 32 - 10 = 22

F = 22 / 2

F = 11

H = F + 10

H = 11 + 10 = 21

11 students study French

21 students study History

8 students study both subject

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