SOLUTION: How many are in the original group if a number of men hired a boat for 560 pesos only for an excursion but two of the men did not make so that the share of each of the remaining in

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: How many are in the original group if a number of men hired a boat for 560 pesos only for an excursion but two of the men did not make so that the share of each of the remaining in      Log On


   

Question 1045031: How many are in the original group if a number of men hired a boat for 560 pesos only for an excursion but two of the men did not make so that the share of each of the remaining in the group increased by 32 pesos.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = original number of people in the group
===> 560%2F%28x-2%29+-+560%2Fx+=+32
===> 1%2F%28x-2%29+-+1%2Fx+=+32%2F560+=+2%2F35
===> 2%2F%28x%28x-2%29%29+=+2%2F35 ===> 1%2F%28x%28x-2%29%29+=+1%2F35

===>x%28x-2%29+=+x%5E2+-+2x+=+35 ===> x%5E2+-+2x+-+35+=+0
===> (x-7)(x+5) = 0 ===> x = 7, -5.
Eliminate the root -5, so the answer to the question is, there were originally 7 people in the boat.