SOLUTION: 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. {{{16

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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.
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.

Answer by stanbon(75887) About Me  (Show Source):
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.
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160/x - 160/(x+1) = 8
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Multiply thru by x(x+1) to g+1et:
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160x - 160x-160 = 8x(x+1)
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8x^2+8x + 160 = 0
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x^2+x+20 = 0
Factor:
(x+5)(x-4) = 0
Positive solution:
x = 4 (original number in the group)
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Cheers,
Stan H.
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