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Answers
45 girls can manage their food for 60 days
1 girl would manage for 45×60 days
X girls can manage their food for 100 days
X = (45× 60)/100 = 2700/100 = 27 girls
therefore 27 girls can manage their food food upto 100 days
27 girls remained in hostel
Correct Question :
There was enough stock of food for 45 gírls for 60 days in a hostel . Some gírls moved out of the hostel and the same food lasted for 100 days. Find the number of gírls who remained at the hostel .
Solution :
Here , we need to find the number of gírls who remained at the hostel , but we will be assuming that the number of gírls who moved out of the hostel is x ; instead of the number of gírls remaining being x .
Now ,
Remaining number of gírls -
( 45 - x ) .
Now , the food lasted for 100 days .
The number of days the food lasted × No of gírls is always constant .
> D_1 × G_1 = D_2 × G_2 = Constant .
> ( 45 - x ) × 100 = 45 × 60
> ( 45 - x) = 27
> x = 45 - 27
> x = 18
So, ( 45 - x ) = 45 - 18 = 27 .
Thus , the number of gírls who remained at the hostel is 27.
This is the required answer .
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