In a class of 40 students, the number of students who study french is 10 more than the number of students who study history.if 8 students study both french and history .

Question

How many students study history.
How many students study french

Answer 1

Let the number of students who study history be x.
Therefore, the number of students who study French would be x + 10.

Given that 8 students study both French and History, we can write the equation:
x + (x + 10) - 8 = 40
2x + 10 - 8 = 40
2x + 2 = 40
2x = 38
x = 19

So, the number of students who study history is 19.
And the number of students who study French is 19 + 10 = 29.