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Re: $5000 were divided equally among a certain number of people. Had there
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25 Jan 2021, 20:33
$5000 were divided equally among a certain number of people. Had there been 20 more people, each would have got $125 less. What is the original number of people?
A. 20
B. 22
C. 23
D. 24
E. 25
Explanation: let x be the original number of person.then,
5000/x-5000/(x+20)=125
5000*20/x*(x+20)=125
x(x+20)=800
x^2+20x-800=0
(x+40)(x-20)=0
x=20 (x=40 invlid as count can't be negative)
Hence A is the correct answer.