document.write( "Question 165473: a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group \n" ); document.write( "
Algebra.Com's Answer #121968 by stanbon(75887)\"\" \"About 
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a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group
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\n" ); document.write( "Let the original number in the group be \"x\".
\n" ); document.write( "The average cost is (total cost)/(number of persons)
\n" ); document.write( "Average cost per person is 300/x dollars.
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\n" ); document.write( "If one more person joins the average cost will be 300/(x+1) dollars.
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\n" ); document.write( "EQUATION:
\n" ); document.write( "original cost - new cost = 10 dollars
\n" ); document.write( "300/x - 300/(x+1) = 1o
\n" ); document.write( "300x + 300 - 300x = 10x(x+1)
\n" ); document.write( "x(x+1) = 30
\n" ); document.write( "x^2+x-30 = 0
\n" ); document.write( "(x+6)(x-5)=0
\n" ); document.write( "x = 5 (original size of the group was 5)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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