Question

A taxi driver had 21 fares to and from the airport last Monday. The price for a ride to the airport is $9, and the price for a ride from the airport is $13. The driver collected a total of $237 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

Let x be the number of trips to the airport and y the number of trips from the airport.

The total number of trips is 21:

x+y=21

The total revenue collected is $237:

9x + 13y = 237

By substitution

we isolate x in the first equation:

x = 21 - y

we replace x in the second equation:

9(21 - y) + 13y = 237

we solve

189 - 9y + 13y = 237

4y = 237 - 189

4y = 48

y = 48 / 4

y = 12

we calculate x using the first equation:

x = 21 - y

x = 21 - 12

x = 9

So the ordered pair (x, y) that represents the solution in this situation is (9, 12). the taxi driver made 9 trips to the airport (x) and 12 trips from the airport (y)

Explanation: