document.write( "Question 167946This question is from textbook
\n" ); document.write( ": Members of the ski club contributed equally to obtain $1800 for a holiday trip. When 6 members found that they could not go their contributions were refunded and each remaining member then had to pay $10 more to raise the $1800. How many went on the trip? \n" ); document.write( "
Algebra.Com's Answer #123826 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"x\"= the original number of members that went on the trip
\n" ); document.write( "\"1800%2Fx\"= The original amount of each contribution
\n" ); document.write( "\"x+-+6\"= the number of members that finally went on the trip
\n" ); document.write( "\"6%2A%281800%2Fx%29\"= The contributions that were withdrawn by 6 who cancelled
\n" ); document.write( "\"1800%2Fx+%2B+10\"= The final contribution by each who finally went
\n" ); document.write( "\"%28x+-+6%29%2A%281800%2Fx+%2B+10%29\"= the final total of contributions
\n" ); document.write( "Since 1800 is still needed for the trip, I can say
\n" ); document.write( "\"%28x+-+6%29%2A%281800%2Fx+%2B+10%29+=+1800\"
\n" ); document.write( "\"1800+-+10800%2Fx+%2B+10x+-+60+=+1800\"
\n" ); document.write( "Subtract \"1800\" from both sides
\n" ); document.write( "\"10x+-+10800%2Fx+-+60+=+0\"
\n" ); document.write( "Multiply both sides by \"x\"
\n" ); document.write( "\"10x%5E2+-+10800+-+60x+=+0\"
\n" ); document.write( "\"10x%5E2+-+60x+-+10800+=+0\"
\n" ); document.write( "Divide both sides by \"10\"
\n" ); document.write( "\"x%5E2+-+6x+-+1080+=+0\"
\n" ); document.write( "I can use the complete the square method
\n" ); document.write( "\"x%5E2+-+6x+%2B+%286%2F2%29%5E2+=+1080+%2B+%286%2F2%29%5E2\"
\n" ); document.write( "\"x%5E2+-+6x+%2B+9+=+1089\"
\n" ); document.write( "\"%28x+-+3%29%5E2+=+33%5E2\"
\n" ); document.write( "\"x+-+3+=+33\"
\n" ); document.write( "\"x+=+36\" (\"x+=+-30\" is also an answer- I discard it)
\n" ); document.write( "This is the number who ORIGINALLY went on the trip
\n" ); document.write( "\"x+-+6+=+30\" is the number who finally went on the trip
\n" ); document.write( "check answer:
\n" ); document.write( "\"%28x+-+6%29%2A%281800%2Fx+%2B+10%29+=+1800\"
\n" ); document.write( "\"%2836+-+6%29%2A%281800%2F36+%2B+10%29+=+1800\"
\n" ); document.write( "\"30%2A%2850+%2B+10%29+=+1800\"
\n" ); document.write( "\"30%2A60+=+1800\"
\n" ); document.write( "\"1800+=+1800\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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