Question 1115291
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The hostel charges {{{highlight(cross(is))}}} Rs.6300 for 35 students for 24 days. 
In how many days will the hostel {{{highlight(cross(charges))}}} charge Rs.3375 for 25 students.
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<pre>
{{{6300/(35*24)}}} = {{{3375/(25*x)}}}.


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 = {{{(35*24*3375)/(6300*25)}}} = 18.


<U>Answer</U>.  18 days.
</pre>

Solved.


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


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


Compare with the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-problem.lesson>Rate of work problems</A> 

in this site.