document.write( "Question 368901: The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club. \n" ); document.write( "
Algebra.Com's Answer #262842 by mananth(16946)![]() ![]() You can put this solution on YOUR website! The members of a flying club plan to share equally the cost of a $200,000 airplane. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club. \n" ); document.write( "... \n" ); document.write( "let the number of members be x \n" ); document.write( "cost of plane = $200,000 \n" ); document.write( "cost per person = 200,000/x \n" ); document.write( ".. \n" ); document.write( "if 5 are added \n" ); document.write( "x+5 members \n" ); document.write( "cost per person will be 200,000/(x+5) \n" ); document.write( "... \n" ); document.write( "200,000/x - 200,000/(x+5)=2000 \n" ); document.write( "x(x+5) LCD \n" ); document.write( "200,000(x+5)-200,000x/(x(x+5)=2000 \n" ); document.write( "200,000x+1000000- 200,000x=2000x(x+5) \n" ); document.write( "+1000000=2000x^2+10000x \n" ); document.write( "/2000 \n" ); document.write( "500=x^2+5x \n" ); document.write( "x^2+5x-500=0 \n" ); document.write( "x^2+25x-20x-500=0 \n" ); document.write( "x(x+25)-20(x+25)=0 \n" ); document.write( "(x+25)(x-20)=0 \n" ); document.write( "x= 20 members \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |