document.write( "Question 630715: The student council of Sta. Luucia needed 2,250 for an annual trip. If 5 more members joined the group, each member would then save 5. How many students planned to make the trip?
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Algebra.Com's Answer #397087 by lwsshak3(11628) $\"\"$ $\"About$

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The student council of Sta. Luucia needed 2,250 for an annual trip. If 5 more members joined the group, each member would then save 5. How many students planned to make the trip?
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\n" ); document.write( "let x= number of students planned to make the trip
\n" ); document.write( "2250/x=members cost for trip
\n" ); document.write( "2250/(x+5)=members cost for trip if 5 more members joined
\n" ); document.write( "..
\n" ); document.write( " $\"2250%2Fx-2250%2F%28x%2B5%29=5\"$
\n" ); document.write( "LCD:x(x+5)
\n" ); document.write( "2250(x+5)-2250x=5x(x+5)
\n" ); document.write( "2250x+11250-2250x=5x^2+25x
\n" ); document.write( "5x^2+25x-11250=0
\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( "number of students planned to make the trip=45
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