Question

) Tickets for a school concert were priced at $7 for students and $18 for non-students. Therewere four times as many student tickets sold as non-student tickets for a total of $6,440.How many tickets in total were sold?

Answer 1

Given:

Cost of ticket for student is $7.

Cost of ticket for non-student is $18.

The total cost of tickets is $6,440.

The number of tickets sold for students is 4 times more than number of tickets sold for non-students.

The objective is to find the total number of tickets sold.

Consider the number of non-students as x. Since the number of tickets sold for students is 4 times more than non students.

So, consider number of students as 4x.

The cost equation can be represented as,

$4x(7)+x(18)=6440$

Now the value of x can be calculated as,

$\begin{gathered} 28x+18x=6440 \\ 46x=6440 \\ x=\frac{6440}{46} \\ x=140 \end{gathered}$

Then, the total number of tickets can be calculated as,

$\begin{gathered} N=4x+x \\ =4(140)+140 \\ =560+140 \\ =700 \end{gathered}$

Hence, the total number of tickets sold is 700.