Question

A theater company advertises prices of $13 for adult tickets and $9 for student tickets. On a given day, there were 210 tickets sold, earning a total of $2130.

Which system of equations correctly represents this situation where a represents the number of adult tickets sold and s represents the number of student tickets sold?

{13a+9s=210a+s=2130

{a+s=2109a+13s=2130

{9a+13s=210a+s=2130

{a+s=21013a+9s=2130

Answer 1

Let A = adult and s = student.

Multiply the cost of an adult ticket by number of adults: 13a.

Do the same for students: 9s

Add those together to get total money made:

13a + 9s = $2130

Then add the number of each tickets sold to get total sold:

a +s = 210 tickets.

13a + 9s = $2130, a +s = 210

The last answer is correct.