Question 673104
Let the number of people going on the trip initially be p.
(8700/p)+5=8700/(p-2)
8700(p-2)+5(p^2-2p)=8700p
8700p-17400+5p^2-10p=8700p  Multiply each side by p(p-2)
5p^2-10p-17400=0
p^2-2p-3480=0
(p+58)(p-60)=0
p=60 persons
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Ed