Respuesta :
Answer:
404 adult tickets were sold, and 250 child tickets.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that
x is the number of adult tickets sold.
y is the number of child tickets sold.
654 tickets were sold.
This means that
[tex]x + y = 654[/tex]
[tex]y = 654 - x[/tex]
Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.
This means that
[tex]5x + 2y = 2520[/tex]
Since [tex]y = 654 - x[/tex]
[tex]5x + 2(654 - x) = 2520[/tex]
[tex]5x + 1308 - 2x = 2520[/tex]
[tex]3x = 1212[/tex]
[tex]x = \frac{1212}{3}[/tex]
[tex]x = 404[/tex]
[tex]y = 654 - x = 654 - 404 = 250[/tex]
404 adult tickets were sold, and 250 child tickets.
