SOLUTION: The hostel charges is Rs.6300 for 35 students for 24 days. in how many days will the hostel charges Rs.3375 for 25 students.

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Question 1115291: The hostel charges is Rs.6300 for 35 students for 24 days. in how many days will the hostel charges Rs.3375 for 25 students.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52855) About Me  (Show Source):
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.
The hostel charges highlight%28cross%28is%29%29 Rs.6300 for 35 students for 24 days.
In how many days will the hostel highlight%28cross%28charges%29%29 charge Rs.3375 for 25 students.
~~~~~~~~~~~~~~~~~

6300%2F%2835%2A24%29 = 3375%2F%2825%2Ax%29.


This proportion says that the rate for one student per day is the same for both situations.


From the proportion,  the number of days x is


x = %2835%2A24%2A3375%29%2F%286300%2A25%29 = 18.


Answer.  18 days.

Solved.

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Why this approach is good ?   -   Because you write the proportion  AUTOMATICALLY.

You do not need to think,  and doing in this way,  you will never make a mistake.

Compare with the lesson
    - Rate of work problems
in this site.


Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Note that in both situations, price per student per day is Rs 7.5.