Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
[tex]a+s=243[/tex]
and the student tickets sold were 2x the adult tickets, we can do
[tex]s=2a[/tex]
We can replace s in the first equation adding to 243 with 2a
[tex]a+s(2a)=243\\3a=243\\[/tex]
Step 2:
Solve for a. We can divide both sides by 3.
[tex]a=81[/tex]
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
[tex]s=2a\\s=2(81)\\s=162[/tex]
And...
[tex]162+81=243[/tex]
So, 81 must be the answer!
