document.write( "Question 477400: The student council of Sta. Lucia High School needed 2,500.00 for an annual trip. If five more members joined the group, each members would then save 5.00. How many students planned to make the trip? \n" ); document.write( "
Algebra.Com's Answer #327241 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+x+\" = number of students who planned to take the trip
\n" ); document.write( "given:
\n" ); document.write( "the cost per student is \"+2500+%2F+x+\"
\n" ); document.write( "If 5 more joined the group, the cost per student would be
\n" ); document.write( "\"+2500%2Fx+-+5+\"
\n" ); document.write( "----------------
\n" ); document.write( "I can write the equation:
\n" ); document.write( "\"+2500+%2F+x+-+5=+2500%2F%28x+%2B+5%29++\"
\n" ); document.write( "Multiply both sides by \"+x%2A%28x%2B5%29+\"
\n" ); document.write( "\"+2500%2A%28x%2B5%29+-+5x%2A%28x%2B5%29+=+2500x+\"
\n" ); document.write( "\"+2500x+%2B+12500+-+5x%5E2+-+25x+=+2500x%0D%0A%7B%7B%7B+5x%5E2+%2B+25x+-+12500+=+0+\"
\n" ); document.write( "\"++x%5E2+%2B+5x+-+2500+=+0+\"
\n" ); document.write( "Using quadratic formula:
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+5+\"
\n" ); document.write( "\"+c+=+-2500+\"
\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+5%5E2+-+4%2A1%2A%28-2500%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+25+%2B+10000+%29%29+%2F+2+\"
\n" ); document.write( "\"x+=+%28-5+%2B-+sqrt%28+10025+%29%29+%2F+2+\"
\n" ); document.write( "\"+x+=+%28+-+5+%2B+100.125+%29+%2F+2+\"
\n" ); document.write( "\"+x+=+95.125%2F2+\"
\n" ); document.write( "\"+x+=+47.56+\"
\n" ); document.write( "I can round this to 48 students planned to take the trip
\n" ); document.write( "check answer:
\n" ); document.write( "\"+2500+%2F+%2848%2B5%29+=+2500%2F48+-+5+\"
\n" ); document.write( "\"+2500%2F53+=+2500%2F48+-+5+\"
\n" ); document.write( "\"+47.17+=+52.08+-+5+\"
\n" ); document.write( "\"+47.17+=+47.08+\"
\n" ); document.write( "This seems close enough
\n" ); document.write( "Hope I got it right
\n" ); document.write( "
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