Question:
In a school 60 percent of the students are boy and number of girls is 400.find number of the boys and total students in the school
Answer:
Total number of students in the school = 1000
Total number of boys in the school = 600
Step-by-step explanation:
Given:
Boys percentage = 60
Number of girls = 400
To Find:
Number of the boys= ?
Total students in the school = ?
Solution:
Let the Total number students in the school be x
Let the number of boys be y
60 percent of the students are boy , it can be written as
=> 60% of x = y--------------------------------------------(1)
Total number of students x is
=> 60% of x + 400 = x
=>[tex](\frac{60}{100} \times x) + 400 = x[/tex]
=>[tex](0.6 \times x) + 400 = x[/tex]
=>x - 0.6x = 400
=>0.4x = 400
=> [tex]x= \frac{400}{0.4}[/tex]
=> x=1000----------------------------------------------(2)
So the total number of students is 1000
Substituting (2) in (1)
=> 60% of 1000 = y
=> [tex]\frac{60}{100} \times 1000 = y[/tex]
=> [tex] 0.6 \times 1000 = y[/tex]
=> 600 = y
