document.write( "Question 638204: the student council of sta lucia high school needed 2250.00 for an annual trip. If five more members joined the group, each member would then save 5.00. How many students planned to make the trip? \n" ); document.write( "
Algebra.Com's Answer #402073 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
the student council of sta lucia high school needed 2250.00 for an annual trip. If five more members joined the group, each member would then save 5.00. How many students planned to make the trip?
\n" ); document.write( "**
\n" ); document.write( "let x=no of members who planned to make the trip
\n" ); document.write( "Initial member cost of trip=2250/x
\n" ); document.write( "member cost of trip with 5 more members joining=2250/(x+5)
\n" ); document.write( "2250/x-2250/(x+5)=5
\n" ); document.write( "LCD: x(x+5)
\n" ); document.write( "2250(x+5)+2250x=5x(x+5)
\n" ); document.write( "2250x+5*2250-2250x=5x^2+25x
\n" ); document.write( "5*2250=5x^2+25x
\n" ); document.write( "2250=x^2+5x
\n" ); document.write( "x^2+5x-2250=0
\n" ); document.write( "(x+50)(x-45)=0
\n" ); document.write( "x=-50 (reject, x>0)
\n" ); document.write( "or
\n" ); document.write( "x=45
\n" ); document.write( "no. of members who planned to make the trip=45
\n" ); document.write( "
\n" ); document.write( "
\n" );