document.write( "Question 281982: Sharing cost. 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 #204813 by ptaylor(2198) $\"\"$ $\"About$

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Let x=number of members currently in the club\r
\n" ); document.write( "\n" ); document.write( "($ understood)
\n" ); document.write( "cost per person=(200,000)/x
\n" ); document.write( "With five more people in the club the cost per person would be (200,000)/(x+5)\r
\n" ); document.write( "\n" ); document.write( "Now we are told that:
\n" ); document.write( "{(200,000)/x}-2000=(200,000)/(x+5) multiply each term by x(x+5)
\n" ); document.write( "(200,000)(x+5)-2000x(x+5)=200,000x get rid of parens
\n" ); document.write( "200,000x+1,000,000-2000x^2-10,000x=200,000x divide each term by 2000
\n" ); document.write( "100x+500-x^2-5x=100x subtract 100x from each side and then multiply each term by -1
\n" ); document.write( "x^2+5x-500=0---quadratic in standard form and it can be factored
\n" ); document.write( "(x+25)(x-20)=0
\n" ); document.write( "x=-25----------------------no good members are positive
\n" ); document.write( "x=20--------------------number of members currently in the club\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "200,000/20=$10,000 per member
\n" ); document.write( "200,000/25=$8000 per member or $2000 less per member\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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