SOLUTION: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2600$2600, which was to be divided equally among the members going. Prior to the trip, 1010 memb

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Question 1056296: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2600$2600, which was to be divided equally among the members going. Prior to the trip, 1010 members decided not to go. If the cost per person increased by $130$130, how many people went on the expedition?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2600$2600, which was to be divided equally among the members going. Prior to the trip, 1010 members decided not to go. If the cost per person increased by $130$130, how many people went on the expedition?
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Let c be the original number of climbers planning to go.


Original PRICE, 2600%2Fc dollars per member;

New price if 1010 members decided not to go, 2600%2F%28c-1010%29. This is given as 130 dollar per person increase.
highlight_green%282600%2F%28c-1010%29-2600%2Fc=130%29

20%2F%28c-1010%29-20%2Fc=1

20%28c%29-20%28c-1010%29=c%28c-1010%29

20c-20c%2B20200=c%5E2-1010c

20200=c%5E2-1010c

c%5E2-1010c-20200=0

Check the discriminant.
%281010%29%5E2%2B4%2A20200
1020100-80800
939300----the discriminant....
9393%2A10%5E2
3%2A3131%2A10%5E2------discriminant plainly is NOT a perfect square and solution of c will NOT be a whole positive number.

c=%281010%2B-+10%2Asqrt%289393%29%29%2F2

c=202%2B-+5%2Asqrt%289393%29, the minus form will not work.

c=202%2B5%2A%2896.9175%29

c=686.6

Most useful original number of planned climbers were 687 club members.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $2600$2600, which was to be divided equally among the members going. Prior to the trip, 1010 members decided not to go. If the cost per person increased by $130$130, how many people went on the expedition?
Once again, the other person who responded DOES NOT have a clue how to solve simple problems like these. 

I have to ask! Can 687 people each pay %222%2C600%22%2F687 to go on a climbing expedition? 

Anyway, considering that the numbers are: $2,600, 10, and $130, the correct answer is: highlight_green%28matrix%281%2C3%2C+10%2C+people%2C+went%29%29

You need to view your post before posting. I've seen many of these types of posts in the past. I won't be so kind to give you an answer next time!

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Dear author, the person, who submitted this post!.

Your input presented in an inappropriate form, and therefore the problem can not be solved.

Hope you will take all necessary measures/precautions to avoid such situation in future.

Thanks!