Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Theater tickets to the Livingston Theater production cost $18 for students and $25 for non-students. If 320 tickets were sold, and the total sales of all of the tickets was $6719, how many student tickets were sold

Sagot :

The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the x number of students tickets were sold and

y number of tickets were sold for non students.

Then we can frame two linear equations:

x + y = 320 ...(1)

18x + 25y = 6719 ...(2)

From equation (1) take the value of y and plug into the equation (2)

18x + 25(320 - x) = 6719

18x + 8000 - 25x = 6719

7x = 1281

x = 183 tickets

Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1