Answer:
(25,18) is the required solution.
Step-by-step explanation:
We are given the following in the question:
Let x be the number of trips to the airport and y represent the number of trips from the airport.
Total number of fares to and from the airport = 43
Thus, we can write the equation:
[tex]x+y = 43[/tex]
Price for a ride to the airport = $12
Price for a ride from the airport = $10
Total amount collected by the driver = $480
Thus, we can write the equation:
[tex]12x+10y=480[/tex]
Solving the two equations, we get,
[tex]12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25[/tex]
Thus, the driver made 25 trips to the airport and 18 trips from the airport.
The solution can be represented as (25,18)
