document.write( "Question 80202: A group of people could rent a social hall for $480. When 14 more people join the venture, the cost per person is decreased by $14. How many total people are in the group?
\n" ); document.write( " (Hint: Let X + 14 equal the total number of people in the group)\r
\n" ); document.write( "\n" ); document.write( "I do not understand how to set this up. If you could please help, Thank you.
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Algebra.Com's Answer #57538 by stanbon(75887)\"\" \"About 
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A group of people could rent a social hall for $480. When 14 more people join the venture, the cost per person is decreased by $14. How many total people are in the group?
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\n" ); document.write( "Original Group DATA:
\n" ); document.write( "Let number of people be \"x\".
\n" ); document.write( "Cost per person for social hall = 480/x dollars
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\n" ); document.write( "New Group DATA:
\n" ); document.write( "Number of people is \"x+14\"
\n" ); document.write( "New cost per person = 480/(x+14)
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\n" ); document.write( "EQUATION:
\n" ); document.write( "original cost per person - new cost per person = 14 dollars
\n" ); document.write( "480/x - 480/(x+14) = 14
\n" ); document.write( "Multiply thru by x(x+14) to get:
\n" ); document.write( "480(x+14) - 480x = 14x(x+14)
\n" ); document.write( "480x+14*480 -480x = 14x^2+(14^2)x
\n" ); document.write( "14*480 = 14x^2+(14^2)x
\n" ); document.write( "480 = x^2+14x
\n" ); document.write( "x^2+14x-480=0
\n" ); document.write( "(x-60)(x+8)=0
\n" ); document.write( "Positive answer:
\n" ); document.write( "x=60 (original size of the group)
\n" ); document.write( "x+14 (new size of the group)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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