document.write( "Question 752853: The cost of a museum trip was $120. The people who signed up for the trip were to split the cost equally. However, five people were absent that day, so that those who did go had to pay $2 more. How many people actually went to the museum? \n" ); document.write( "

Algebra.Com's Answer #458093 by dkppathak(439) $\"\"$ $\"About$

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let total people plan to trip is x
\n" ); document.write( "per head exp for trip was=120/x
\n" ); document.write( "actually 5 less people (x-5) reported for trip
\n" ); document.write( "per head contribution for trip will be =120/x-5
\n" ); document.write( "as per given conditions
\n" ); document.write( "120/x-5 +2 =120/x
\n" ); document.write( "2 =120/x -120/x-5
\n" ); document.write( "2=120(x-5)-120x/x(x-5)
\n" ); document.write( "2 = 120(x-5-x)/x^2-5x
\n" ); document.write( "2 = 120 multiplied by -5/x^2-5x
\n" ); document.write( "2x^2 -10x =-600
\n" ); document.write( "x^2 -5x = -300
\n" ); document.write( "x^2 -5x +300 =0
\n" ); document.write( "x^2-20x +15x+300 =0
\n" ); document.write( "x(x-20) +15(x-20) =0
\n" ); document.write( "(x-20) (x+15)
\n" ); document.write( "x-20=0 or x+15 =0
\n" ); document.write( "x=20 or x= -15
\n" ); document.write( "neglecting negative value
\n" ); document.write( "initial people plan for trip was 20
\n" ); document.write( "and actual people gone for trip was 15 ANSWER \n" ); document.write( "

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