Question

The MTC Theater holds 250 people, and last night’s performance sold out!  Students paid $3.00 per ticket, while adults paid $5.00 per ticket.  Last night’s show brought in $1050.

Write a system of equations for the problem.

Answer 1

9514 1404 393

Answer:

• s + a = 250
• 3s + 5a = 1050

Explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

s + a = 250 . . . . . . total of tickets sold

3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.