Question

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?

Answer 1

Finding the total number of adult tickets sold.

Let, the number of adult tickets sold be $A$.

And, the number of student tickets sold be $a$.

Now, the total no of student tickets and adult tickets sold added equals $432$. Then,

$A+a=432$

As It is known that, the number of student tickets sold is three times of student tickets sold. Then,

$a=3A$

Now, substitute the value of $a$with $3A$:

$\begin{array}{rcl}A+3A& =& 432\\ & \Rightarrow & 4A=432\\ & \Rightarrow & A=\frac{432}{4}\\ & \Rightarrow & A=108\end{array}$

Hence, the total number of adult tickets sold are $108$.