in a college 63% of students are less than 20 years of age.The number of students more than 20 years of age is 2/3of number of students of 20years of age which is 42. what is the total number of students in the college
Answers
Step-by-step explanation:
Given:-
In a college 63% of students are less than 20 years of age.The number of students more than 20 years of age is 2/3 of number of students of 20 years of age which is 42.
To find:-
what is the total number of students in the college ?
Solution:-
Let the total number of students in the college be X
So, 100% = X
Number of students who are less than 20 years of age = 63% of the total students
=> 63% of X
=> (63/100)×X
=> 63X/100
Number of students who are of 20 years = 42
Number of students more than 20 years of age
= 2/3 of the students who are of 20 years
= (2/3)×42
=> (2×42)/3
=> 84/3
=> 28
Number of students more than 20 years. = 28
Total number of students =
Students who are (Less than 20 years + 20 years + more than 20 years)
=> X = (63X/100)+(42)+(28)
=> X = (63X/100) + 70
=> X = (63X+7000)/100
=> X× 100 = 63 X +7000
=> 100X = 63 X +7000
=> 100X -63X = 7000
=> 37X = 7000
=> X = 7000/37
=> X = 189.189...
Number of students = 189
(or)
Number of students less than 20 years = 63%
100-63 = 37%
37% of the students of 20 years and more than 20 years
Number of students who are of 20 years = 42
Number of students more than 20 years of age
= 2/3 of the students who are of 20 years
= (2/3)×42
=> (2×42)/3
=> 84/3
=> 28
=> 37% of X = 42+28
=> (37/100)×X = 70
=> 37X/100 = 70
=>37X = 7000
=> X = 7000/37
=>X = 189.189....
(Number of students can not be decimal number)
=>X = 189
Number of students = 189
Answer:-
Total number of students in the college = 189