the number of boys and girls in a class are in the ratio 7 is to 5 the number of boys is 8 more than the girls number of girls what is the total class strength
Answers
No. of boys=7x
According to the question
5x+8=7x
7x-5x=8
2x=8
x=8/2
x=4
No. of girls=5*4=20
no. of boys=7*4 or 5*4+8=28
Hence the total strength of the class is 20+28=48
Let us assume the number of boys in the class to be '7x'.
Let us assume the number of girls in the class to be '5x'.
Writing the condition given in the question in words:
No of boys = No of girls + 8
Framing this in the form of a linear equation in one variable:
7x = 5x + 8
Solving this linear equation which we just framed:
Taking 5x to the other side of the equation we get:
7x - 5x = 8
2x = 8
x = 8 / 2
x = 4
Therefore, the value we obtain for 'x' is 4.
Calculating the number of boy's that are there in the class:
= 7x
Putting value of x:
= 7 x 4
= 28 boys
Calculating the number of girls that are there in the class:
= 5x
Putting value of x:
= 5 x 4
= 20 girls
Calculating the total class strength:
= No of boys + No of girls
Putting values we obtained:
= 28 + 20
= 48 students
Therefore, the total number of students in the class is 48 students.