document.write( "Question 1103213: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2000, which was to be divided equally among the members going. Prior to the trip, 5 members decided not to go. If the cost per person increased by $20, how many people went on the expedition?\r
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Algebra.Com's Answer #717917 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+n+\" = the original number of members that went
\n" ); document.write( "\"+2000%2F%28+n+-5+%29+=+2000%2Fn+%2B+20+\"
\n" ); document.write( "Multiply both sides by \"+n%2A%28+n+-+5+%29+\"
\n" ); document.write( "\"+2000n+=+2000%2A%28+n+-+5+%29+%2B+20%2An%2A%28+n+-+5+%29+\"
\n" ); document.write( "\"+2000n+=+2000n+-+10000+%2B+20n%5E2+-+100n+\"
\n" ); document.write( "\"+20n%5E2+-+100n+-+10000+=+0+\"
\n" ); document.write( "\"+n%5E2+-+5n+-+500+=+0+\"
\n" ); document.write( "\"+n+=+%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+=+-500+\"
\n" ); document.write( "\"+n+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A1%2A%28-500%29+%29%29%2F%282%2A1%29+\"
\n" ); document.write( "\"+n+=+%28+5+%2B-+sqrt%28+25+%2B+2000+%29+%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+5+%2B+sqrt%28+2025+%29+%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+5+%2B+45+%29%2F2+\"
\n" ); document.write( "\"+n+=+25+\"
\n" ); document.write( "----------------
\n" ); document.write( "\"+25+-+5+=+20+\", so
\n" ); document.write( "20 people went on the expedition
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\n" ); document.write( "check:
\n" ); document.write( "\"+2000%2F%28+n-5+%29+=+2000%2Fn+%2B+20+\"
\n" ); document.write( "\"+2000%2F20+=+2000%2F25+%2B+20+\"
\n" ); document.write( "\"+100+=+80+%2B+20+\"
\n" ); document.write( "\"+100+=+100+\"
\n" ); document.write( "OK\r
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