SOLUTION: The cost of hiring a bus for an outing was $240 and this was to be shared equally by X people. On the day of the trip,4 people were unable to go. The remaining people had to sha

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The cost of hiring a bus for an outing was $240 and this was to be shared equally by X people. On the day of the trip,4 people were unable to go. The remaining people had to sha      Log On


   

Question 971972: The cost of hiring a bus for an outing was $240 and this was to be shared equally by X people. On the day of the trip,4 people were unable to go. The remaining people had to share the cost of the hiring the bus instead, so that each person had to pay an extra $2.
Form an equation in x and solve it to find the amount that each person had to pay originally.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Original price per person, 240%2FX dollars per person.

Four fewer people actually went on the trip, X-4 being how many shared the trip cost.

New price per person, 240%2F%28X-4%29 dollars per person.

The new price is 2 dollars more than before:
highlight%28highlight%28240%2F%28X-4%29=240%2FX%2B2%29%29
That is the equation to solve. Solve for X first, the number of people who ORIGINALLY planned to go on the trip.

Once calculated, evaluate 240%2FX being the original price per person.