the ratio of teachers and students in g.p.s.laheriasarai is 1:25. if 356 more students come than the ratio becomes1:28.find the number of teachers in the school
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Step-by-step explanation:
Given:-
The ratio of teachers and students in g.p.s.laheriasarai is 1:25. if 356 more students come than the ratio becomes1:28.
To find:-
Find the number of teachers in the school ?
Solution:-
The ratio of teachers and students in a school = 1:25
Let the number of teachers be X
Let the number of students be 25X
Number of students added = 356
Then , The total number of students = 25X+356
The ratio becomes =1:28
=>X:(25X+356) = 1:28
We know that
a:b can be written as a/b
=>X/(25X+356) = 1/28
On applying cross multiplication then
=>28X = 25X + 356
=>28X - 25 X = 356
=>3 X = 356
=>X = 356/3
=>X = 118.66...~ 119
Number of teachers = 119
Answer:-
Number of teachers in the school = 119
Additional information:-
- If the number of students is increased then the number of teachers is also increased and they are in direct Proportional.
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