Respuesta :
Answer:
The adult tickets are 400 and the children tickets are 300.
Step-by-step explanation:
Given:
At a carnival, 700 tickets were sold for a total amount of $5500. An adult ticket cost $10 and a children's ticket cost $5.
Now, to find the number of adult tickets and the number of children's tickets sold.
Let the number of adult tickets be [tex]x.[/tex]
And let the number of children tickets be [tex]y.[/tex]
So, the total number of tickets sold:
[tex]x+y=700\\\\y=700-x\ \ \ ....(1)[/tex]
Now, the total amount of tickets:
[tex]x(10)+y(5)=5500[/tex]
Substituting the value of [tex]y[/tex] from equation (1):
[tex]x(10)+(700-x)(5)=5500\\\\10x+3500-5x=5500\\\\5x+3500=5500[/tex]
Subtracting both sides by 3500 we get:
[tex]5x=2000[/tex]
Dividing boths sides by 5 we get:
[tex]x=400.[/tex]
The number of adult tickets = 400.
Now, substituting the value of [tex]x[/tex] in equation (1) we get:
[tex]y=700-x\\\\y=700-400\\\\y=300.[/tex]
The number of children tickets = 300.
Therefore, the adult tickets are 400 and the children tickets are 300.
