In a certain school, 25% students qre below 10years of age. The number of students above is half of the number of students of 10 years age that is 100. What is total number of students in the school?
Answers
Answer:
300
Step-by-step explanation:
10+age=100
10-age=100×2=200
200+100=300
Step-by-step explanation:
Given:-
In a certain school, 25% students are below 10years of age. The number of students above is half of the number of students of 10 years age that is 100.
To find :-
What is total number of students in the school?
Solution :-
Let the total number of students in a school be X
Number of students are below 10 years age = 25% of the total students
=> 25% of X
=> 25% × X
=> (25/100)×X
=> (1/4)×X
=> (1×X)/4
=> X/4
The number of students of 10 years age = 100
The number of students above 10 years age = Half of the number of students of 10 years age
= (1/2) of 100
= 100/2
= 50
Total students = Students below 10 years + 10 years age + above 10 years age
=> X = (X/4)+100+50
=> X = (X/4) +150
=> X-(X/4) = 150
=>(4X-X)/4 = 150
=> 3X/4 = 150
=> 3X = 150×4
=> 3X = 600
=> X = 600/3
=> X = 200
Therefore,X = 200
Answer:-
The total number of students in the school = 200
Check :-
Total students = 200
Students below 10 years age = 25% of 200
=> (25/100)×200
=> 25×2
=> 50
Students of 10 years age = 100
Students above 10 years age = 100/2 = 50
Total students = 50+100+50 = 200
Verified the given relations in the given problem.