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Problem Solving (PS) | Re: An amount of money was divided between some people in such a way that

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Bunuel wrote:

An amount of money was divided between some people in such a way that if there had been 4 people, everyone would have $16 less. but if there had been 4 less people, everyone would have got $24 more. How many people were there in group? ?

A. 12
B. 16
C. 20
D. 24
E. 32


Let n be the number of people with p dollars
total = pn

(n+4)(p-16)=pn
np+4p-16n-64 = pn
4p-16n = 64.......(i)

(n-4)(p+24)=pn
-4p+24n = 96.......(ii)

on solving we get
8n = 160
n=20
C
...

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