Adventures, inc. has a $1500 group rate for an overnight rafting trip on the Colorado River. for the last trip five people failed to show, causing the price per person to increase by $25.00. how many were originally scheduled for the trip?
To find the original number of people scheduled for the trip, we can use algebra. Let's denote the original number of people as "x."
According to the information given, the group rate for the trip is $1500, and after five people failed to show, the price per person increased by $25. This means that the new price per person is $1500 + $25 = $1525.
To determine the original number of people, we will set up an equation using the group rates before and after the five people failed to show:
Original group rate per person * Original number of people = New group rate per person * (Original number of people - 5)
Mathematically, this can be expressed as:
$1500 * x = $1525 * (x - 5)
Now, let's solve the equation to find the value of x:
$1500x = $1525(x - 5)
$1500x = $1525x - $7625
$1525x - $1500x = $7625
$25x = $7625
Dividing both sides of the equation by $25:
x = $7625 / $25
x = 305
Therefore, the original number of people scheduled for the trip was 305.