Answer:
In the original party, there were 8 fishermen.
Step-by-step explanation:
A party of fishermen rented a boat for $240.
Let original number of fisherman in party be x.
So, average cost per person =
New number of fisherman in the party = x-2
So, new average cost per person =
As 2 persons withdrew, the cost increased by $10 for others.
So, equation becomes:
=>
Solving this we get the quadratic equation:
Factoring out 10 common;
=>
=>
We get the roots as (x-8) and (x+6)
So, x = 8 and x = -6(neglecting negative value)
Hence, there were 8 fisherman in the original party.