document.write( "Question 211760: The members of a traveling club plan to share equally the cost of $150,000 motor home. If they can find 10 more people to join and share the cost, then the cost per person will decrease by $1,250. How many members are there initially in the club? \n" ); document.write( "
Algebra.Com's Answer #159998 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The members of a traveling club plan to share equally the cost of $150,000 motor home. If they can find 10 more people to join and share the cost, then the cost per person will decrease by $1,250. How many members are there initially in the club? \n" ); document.write( "------------------------------- \n" ); document.write( "Let the initial number be \"x\" \n" ); document.write( "Average cost was 150,000/x dollars. \n" ); document.write( "------------------- \n" ); document.write( "New number is \"x+10\" \n" ); document.write( "Average cost will be 150,000/(x+10) \n" ); document.write( "------------------- \n" ); document.write( "Equation: \n" ); document.write( "old cost - new cost = 1250 \n" ); document.write( "150,000/x - 150000/(x+10) = 1250 \n" ); document.write( "-------------- \n" ); document.write( "1500000 = 1250x(x+10) \n" ); document.write( "1200 = x(x+10) \n" ); document.write( "x^2 + 10x - 1200 = 0 \n" ); document.write( "(x-30)(x+40) = 0 \n" ); document.write( "Positive solution: \n" ); document.write( "x = 30 (initial number of people) \n" ); document.write( "===================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |