In a class, the number of students studying French or history is 40.20, study both subjects and those who study french is 10 times more than the number who study history. Find how many study history and how many study French
Without knowing the class size, who can say?
All we do know for sure is that if
H study only history
F study French only
F+20 = 10(H+20)
Solve
To find the number of students studying history and French, let's call the number of students studying history "x."
According to the given information, the number of students studying French is 10 times more than the number studying history. Therefore, the number of students studying French would be 10x.
We also know that the total number of students studying French or history is 40 + 20 = 60. So, we can set up an equation:
x + 10x = 60
Combining like terms, we get:
11x = 60
Now, we can solve for x by dividing both sides of the equation by 11:
x = 60 / 11
Using a calculator, we find that x is approximately 5.45 (rounded to two decimal places).
Since we can't have a fraction of a student, we can round down x to the nearest whole number, which would be 5.
Therefore, approximately 5 students study history, and since the number studying French is 10 times more, approximately 10 * 5 = 50 students study French.