Question

A total of 243 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two

times the number of adult tickets sold. How many adult tickets were sold?

Answer 1

ok so I did this before

Explanation:

just multiply 243 × 2 = ?

I got it right so you will probably get it right :)

Answer 2

81 adult tickets

Explanation:

Step 1:

Set up a system of equations

Since the adult tickets and student tickets add to 243, we can do

`a+s=243`

and the student tickets sold were 2x the adult tickets, we can do

`s=2a`

We can replace s in the first equation adding to 243 with 2a

`a+s(2a)=243\\3a=243\\`

Step 2:

Solve for a. We can divide both sides by 3.

`a=81`

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!

`s=2a\\s=2(81)\\s=162`

And...

`162+81=243`

So, 81 must be the answer!