Respuesta :
Answer:
The number of adult tickets sold is 894 and the number of kid tickets is 750.
Step-by-step explanation:
Given:
A Six Flags theme park charges $30 for adults and $15 for kids.
Total of 1,644 tickets were sold.
Total amount of tickets $11,250.
Now, to find the number of adult tickets and kid tickets.
Let the number of kid tickets be [tex]x.[/tex]
And the number of adult tickets be [tex]y.[/tex]
So, the total number of tickets:
[tex]x+y=1644.[/tex].....(1)
Solving the equation we get the value of [tex]x[/tex]:
[tex]x=1644-y.[/tex]
Now, the total amount of tickets of adult and kids:
[tex]15x+30y=11250.[/tex]
So, by putting the value of [tex]x[/tex] we get:
[tex]15(1644-y)+30y=11250[/tex]
[tex]24660-15y+30y=11250[/tex]
[tex]24660+15y=11250[/tex]
Subtracting both sides by 24660 we get:
[tex]15y=-13410[/tex]
Dividing both sides by -15 we get:
[tex]y=894[/tex]
Thus number of adult tickets = 894.
Now, putting the value of [tex]y[/tex] in equation (1):
[tex]x+894=1644[/tex]
On solving we get:
[tex]x=1644-894[/tex]
[tex]x=750.[/tex]
So. the number of kid tickets = 750.
Therefore, the number of adult tickets sold is 894 and the number of kid tickets is 750.
