Question

airline fairs for a flight from dallas to austin at $30 for first class and $ 25 for tourist class. the flight had 52 passengers who paid $1360, how many tourist class and first class passengers are there?

Answer 1

There are 40 tourist class passengers and 12 first class

Explanation:

Let

x ---> the number of tourist class passengers

y ---> the number of first class passengers

we know that

the flight had 52 passengers

so

`x+y=52` ----> equation A

The passengers paid $1,360

so

`25x+30y=1,360` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (40,12)

see the attached figure

therefore

There are 40 tourist class passengers and 12 first class