# A total of 432 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Feb 18, 2018

$A = 108$ tickets

#### Explanation:

Let's let $A =$ number of adult tickets sold and $s =$number of student tickets sold.

Now, the number of adult tickets sold and student tickets sold added equal 432 tickets.

Therefore, $A + s = 432$

We also know that number of student tickets sold was three times the number of adult tickets sold. Therefore,
$s = 3 A$

We can now substitute $s$ with $3 A$

=>$A + 3 A = 432$

=>$4 A = 432$ Divide both sides by 4

=>$A = 108$

Feb 18, 2018

108 adult tickets sold.

#### Explanation:

To do this equation, we can set x equal to the number of adult tickets sold, and then set up the following equation:
$x + 3 x = 432$
Since there are three times as many student tickets as adult tickets and the total is 432, you can just use all this information together to make an equation. From there, you can combine like terms to create this equation:
$4 x = 432$
After this, just divide both sides by 4 to reach the answer of:
$x = 108$