SOLUTION: A group of fishermen rented a boat for Php2400.00. Two of the men withdrew from the party and as a result, the share of each of those remaining was increased by 100. How many were

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Question 770243: A group of fishermen rented a boat for Php2400.00. Two of the men withdrew from the party and as a result, the share of each of those remaining was increased by 100. How many were in the original group? Thank you! :)
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
A group of fishermen rented a boat for Php2400.00. Two of the men withdrew from the party and as a result, the share of each of those remaining was increased by 100. How many were in the original group? Thank you! :) 
Ans:
Let the original number of people be x.
Then share of each person = 2400/x
After 2 people withdraw, the new number of people = (x - 2)
New share for each = 2400/(x - 2)
This new share is 100 more than the original.
So we get the equation
 dividing by 20 throughout,

Cross multiplying


 Dividing by 5 throughout

This is a standard quadratic equation which can be solved by factorizing.


x = 8 or x = -6
Taking the positive value of x,
Number of fishermen = 
Hope you got it :)

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