SOLUTION: A group of men went on fishing trip, agreeing that each should pay the same amount. The total bill was 168pesos. If there had been two fewer men, each man would have to pay 2 pes

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Question 921400: A group of men went on fishing trip, agreeing that each should pay the same amount. The total bill was 168pesos. If there had been two fewer men, each man would have to pay 2 pesos more. How many men went fishing? ( answer is 14 - show your solution )
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Group of n men.
Price was 168%2Fn.

IF n-2, then price %28168%2Fn%29%2B2.

Either way, the bill still be 168 pesos.

Cost of 168 pesos, highlight_green%28%28n-2%29%28168%2Fn%2B2%29=168%29.

%28n-2%29%28168%2B2n%29=168n
168n%2B2n%5E2-2%2A168-4n=168n
2n%5E2-4n-2%2A168=0
n%5E2-2n-168=0
highlight%28%28n%2B12%29%28n-14%29=0%29

The sensible conclusion is 14 men are in the group.