document.write( "Question 69718: Guidance it needed with this problem please. \r
\n" ); document.write( "\n" ); document.write( "\"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 #49677 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
\"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( ":
\n" ); document.write( "Let x = Number of actual students that attended
\n" ); document.write( "(x+5) = number that planned to attend
\n" ); document.write( ":
\n" ); document.write( "Original cost per student: 500/(x+5)
\n" ); document.write( "Actual cost per student: 500/x
\n" ); document.write( ":
\n" ); document.write( "500/x = 1.05[500/(x+5)]
\n" ); document.write( ":
\n" ); document.write( "500/x = 525/(x+5)
\n" ); document.write( ":
\n" ); document.write( "Cross multiply
\n" ); document.write( "525x = 500(x+5)
\n" ); document.write( "525x = 500x + 2500
\n" ); document.write( "525x - 500x = 2500
\n" ); document.write( "25x = 2500
\n" ); document.write( "x = 2500/25
\n" ); document.write( "x = 100 students attended
\n" ); document.write( ":
\n" ); document.write( "Check using cost per student:
\n" ); document.write( "Actual: 500/100 = $5 per
\n" ); document.write( "Planned: 500/105 = $4.76 per
\n" ); document.write( "5% Percent increase: 1.05 * 4.76 = $4.998 ~ $5
\n" ); document.write( " \n" ); document.write( "
\n" );