document.write( "Question 84582: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together? \n" ); document.write( "
Algebra.Com's Answer #60931 by venugopalramana(3286)\"\" \"About 
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Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?
\n" ); document.write( "LET N BE NUMBER OF STUDENTS ATTENDED.
\n" ); document.write( "TOTAL NUMBER OF STUDENTS = N+5
\n" ); document.write( "FOOD BUDGET = 500 $
\n" ); document.write( "BUDGETED COST PER HEAD = 500/(N+5)
\n" ); document.write( "ACTUAL COST INCURRED PER HEAD ATTENDED = [500/(N+5)]+5 = (500+5N+25)/(N+5)
\n" ); document.write( "TOTAL ACTUAL COST =N*(5N+525)/(N+5)
\n" ); document.write( "HENCE
\n" ); document.write( "(5N^2+525N)/(N+5)=500
\n" ); document.write( "5N^2+525N=500(N+5)=500N+2500
\n" ); document.write( "5N^2+25N-2500=0
\n" ); document.write( "N^2+5N-500=0
\n" ); document.write( "N^2+25N-20N-500=0
\n" ); document.write( "N(N+25)-20(N+25)=0
\n" ); document.write( "(N-20)(N+25)=0
\n" ); document.write( "N=20
\n" ); document.write( "HENCE 20 ATTENDED THE FUNCTION\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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