Answer:
To determine how many people ended up on the trip, let's break down the information provided.
Initially, the organizer stated that the bus would cost $540 to rent. This cost would be divided among the people going on the trip.
Next, the organizer mentioned that if you got 3 more people to go on the trip, each girl could pay $9 less. This means that the cost per girl would decrease by $9.
Let's assume that there were x girls initially going on the trip. In this case, the total cost per girl can be calculated as (540 / x) dollars.
With the reduction of $9 per girl, the new cost per girl can be calculated as [(540 / x) - 9] dollars.
Since we know that the new cost per girl is $9 less than the initial cost per girl, we can set up an equation:
[(540 / x) - 9] = (540 / (x + 3))
Simplifying this equation, we get:
540 - 9x = 540 + 3(540 / x)
Simplifying further, we get:
-9x = 3(540 / x)
Multiplying both sides by x, we get:
-9x^2 = 3 * 540
Simplifying again, we get:
-9x^2 = 1620
Dividing both sides by -9, we get:
x^2 = -180
However, we cannot have a negative number of girls, so there must be an error in the information provided or in the calculations.
To summarize, based on the given information, we cannot determine the number of people who ended up on the trip. It seems there may be an error in the problem statement or in the calculations.
Explanation: