SOLUTION: a certain number of people have to pay equal amounts to a total of 720. if there were 3 persons less each person would have to pay 40 more. how many people were there originally?

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Question 899394: a certain number of people have to pay equal amounts to a total of 720. if there were 3 persons less each person would have to pay 40 more. how many people were there originally?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
720/(n-3) = 720/n + 40
720n = 720(n-3) + 40n(n-3)
40n^2 -120n - 3*720 = 0
n^2 - 3n -54 = 0
(n-9)(n+6) = 0, n = 9 (tossing out negative solution for count)
Originally 9 people
And...
$720/6 = $720/9 + $40 = $120
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