Question

A taxi driver had 43 fares to and from the airport last Monday. The price for a ride to the airport is $12, and the price for a ride from the airport is $10. The driver collected a total of $480 for the day. Let x represent the number of trips to the airport and y represent the number of trips from the airport. Write the ordered pair (x,y) that represents the solution in this situation.

Answer 1

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:

$x+y = 43$

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:

$12x+10y=480$

Solving the two equations, we get,

$12x+12y-(12x+10y)=516-480\\\Rightarrow 2y =36\\\Rightarrow y = 18\\\Rightarrow x = 43-18=25$

Thus, the driver made 25 trips to the airport and 18 trips from the airport.

The solution can be represented as (25,18)