Question

The admission fee for a soccer game is $5 for adults and $3 for children. 2,600 people attended the game and $11,400 is collected in ticket sales. Which system of equations yields the cost of an adult ticket, a, and a child ticket, c?

Answer 1

a + c = 2,600

5a + 3c = 11,400

1,800 adults and 800 children attended the game

Explanation:

Let

a ----> the number of adults

c ----> the number of children

we know that

`a+c=2,600` -----> equation A

`5a+3c=11,400` ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (1,800,800)

see the attached figure

therefore

1,800 adults and 800 children attended the game