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

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Where's the 4 come from??
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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.