document.write( "Question 1039978: 240 students in a hostel had a provision for 30 days. After somedays 80 more students joined the hostel and the provision lasted only for 18 days. After how many days did the students join the hostel ?
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Algebra.Com's Answer #654761 by stanbon(75887) ![]() You can put this solution on YOUR website! 240 students in a hostel had a provision for 30 days. \n" ); document.write( "Let \"p\" be the # of provisions:: \n" ); document.write( "p/240 = 30 prov/student \n" ); document.write( "p = 240*30 = 7200 provisions \n" ); document.write( "---------------------------------------- \n" ); document.write( "After some days 80 more students joined the hostel and the provision lasted only for 18 days. After how many days did the students join the hostel ? \n" ); document.write( "Let the number of days be \"d\" \n" ); document.write( "---------------- \n" ); document.write( "provisions - prov - prov = 0 provisions \n" ); document.write( "7200 - (d*240) - (18[7200-240d]/320] = 0 \n" ); document.write( "------------------------------------------- \n" ); document.write( "7200 - 240d - (18/320)7200 + (18/320)(240d) = 0 \n" ); document.write( "7200 - 240d - 405 + 13.5d = 0 \n" ); document.write( "226.5d = 6795 \n" ); document.write( "Ans: d = 30 \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------ \n" ); document.write( " \n" ); document.write( " |