document.write( "Question 897021: A party of fishermen rented a boat for $240. Two of the men had to withdraw from the party and, as result, the share of each of the others was increased by $10. How many were int he original party? \n" ); document.write( "

Algebra.Com's Answer #543935 by stanbon(75887) $\"\"$ $\"About$

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A party of fishermen rented a boat for $240. Two of the men had to withdraw from the party and, as result, the share of each of the others was increased by $10. How many were int he original party?
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\n" ); document.write( "Let original number in party be \"x\"::
\n" ); document.write( "Average cost per person = 240/x
\n" ); document.write( "--------
\n" ); document.write( "New number in the party:: x-2
\n" ); document.write( "New Average cost per person:: 240/(x-2)
\n" ); document.write( "------
\n" ); document.write( "Equation::
\n" ); document.write( "New average - old average = 10 dollars
\n" ); document.write( "------
\n" ); document.write( "240/(x-2) - 240/x = 10
\n" ); document.write( "-----
\n" ); document.write( "240x - 240(x-2) = 10x(x-2)
\n" ); document.write( "--------
\n" ); document.write( "480 = 10x^2-20x
\n" ); document.write( "x^2 - 2x - 48 = 0
\n" ); document.write( "x = 8 (original # in party)
\n" ); document.write( "------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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