SOLUTION: a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group

Question 165473: a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a group rental a cabin for 300$ for weekend if one more person goes alonge the price per person is reduces by 10$ how many people are in the original group
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Let the original number in the group be "x".
The average cost is (total cost)/(number of persons)
Average cost per person is 300/x dollars.
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If one more person joins the average cost will be 300/(x+1) dollars.
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EQUATION:
original cost - new cost = 10 dollars
300/x - 300/(x+1) = 1o
300x + 300 - 300x = 10x(x+1)
x(x+1) = 30
x^2+x-30 = 0
(x+6)(x-5)=0
x = 5 (original size of the group was 5)
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Cheers,
Stan H.

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