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 ?
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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In a diagram form
What is this
Tanxs
Wrong work
To determine the number of students studying French and history, let's follow this step-by-step approach:
Step 1: Set up variables
Let x represent the number of students studying French.
Since the number of students studying history is 10 more than those studying French, the number of students studying history is x + 10.
Step 2: Count the number of students
From the given information, we know that 8 students study both French and history. This means that the total number of students studying French or history is x + (x + 10) - 8.
Step 3: Use the number of students in the class
The question mentions that the class consists of 40 students. Therefore, we can set up the equation:
x + (x + 10) - 8 = 40
Step 4: Solve for x
Simplifying the equation, we have:
2x + 2 = 40
2x = 40 - 2
2x = 38
x = 38/2
x = 19
Therefore, there are 19 students studying French (x = 19) and 19 + 10 = 29 students studying history.