Question

2298 concert tickets were sold for a total of $9356. If students paid $3 and nonstudents paid $5, how many student tickets were sold?

Answer 1

Step-by-step explanation: To solve this question let's consider the variable "s" as the number of students and the variable "n" as the number of nonstudents. Now we can build two equations as follows

`\begin{gathered} 3s+5n=9356 \\ \text{this equation represents the total amount of dollars sold in tickets} \end{gathered}`
`\begin{gathered} s+n=2298 \\ \text{this equation represents the total amount of tickets sold} \end{gathered}`

Step 1: Now we have a simple system of equations and we can use it to find the values of "n" and "s" as follows

Final answer: As we can see above 1067 student tickets were sold.