document.write( "Question 430515: Number of students rented a car for $160 for one week. Another student joined in and each person share was reduced by 8 dollars. How many students in the original group.\r
\n" ); document.write( "\n" ); document.write( " $\"160%2Fx=160%2F%28x%2B1%29-8\"$ is the formula i used, but it comes out to a fraction. I used x to represent the number of students. Thanks for any help. \n" ); document.write( "

Algebra.Com's Answer #298979 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Number of students rented a car for $160 for one week. Another student joined in and each person share was reduced by 8 dollars. How many students in the original group.
\n" ); document.write( "--------------------------
\n" ); document.write( "160/x - 160/(x+1) = 8
\n" ); document.write( "-----
\n" ); document.write( "Multiply thru by x(x+1) to g+1et:
\n" ); document.write( "---
\n" ); document.write( "160x - 160x-160 = 8x(x+1)
\n" ); document.write( "---
\n" ); document.write( "8x^2+8x + 160 = 0
\n" ); document.write( "---
\n" ); document.write( "x^2+x+20 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x+5)(x-4) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 4 (original number in the group)
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "===============
\n" ); document.write( " \n" ); document.write( "

\n" );