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

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 thanks
Answer by Fombitz(32388) (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.
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