Aparty of fishermen rented a boat for $240. two of the fishermen had to withdraw from the party and, as a result, the share of each of the others was increased by $10. how many were in the original party?

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.