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.

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above