# SOLUTION: A civic club charters a bus for one day at a cost of \$575. When 2 more people join the group each persons cost decreases by \$2. How many people were in the original group. T

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Finance -> SOLUTION: A civic club charters a bus for one day at a cost of \$575. When 2 more people join the group each persons cost decreases by \$2. How many people were in the original group. T      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Money, Business and Interest Solvers Lessons Answers archive Quiz In Depth

 Question 344366: A civic club charters a bus for one day at a cost of \$575. When 2 more people join the group each persons cost decreases by \$2. How many people were in the original group. Thought you might solve this by 575/4 or (575-2)4 but it didn't seem to work please help thanksAnswer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!Where's the 4 come from?? . . . Assume there are X people going originally. Then the cost per person is When you add the 2 people you now have X+2 people and the cost per person becomes, And you know that, Now substitute into this equation. Multiply both sides by the product of the denominators This equation is factorable. Two solutions but only the positive solution makes sense here. When , dollars per person When , dollars per person, a \$2 reduction.