document.write( "Question 418226: a number of students rented a car for $160 for a one week camping trip. If another student had joined the original group, each persons share of expenses would have been reduced by $8. How many students were in the orginal group? \n" ); document.write( "

Algebra.Com's Answer #292744 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi
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document.write( "Let x represent the number in the original group
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document.write( "Question states***
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document.write( " 160/x - 160/(x+1) = $8
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document.write( "Solving for x
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document.write( "160(x+1) - 160x = 8x(x+1)
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document.write( "  8x^2  + 8x -160 = 0
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document.write( "   x^2 + x - 20 = 0   
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document.write( "  (x+5)(x-4)=0   x = 4  |tossing out negative solution for count\r
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document.write( "CHECKING our Answer***
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document.write( " 160/4 - 160/5 = $40 - $32 = $8 \n" );
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