You are selling tickets for a high school concert. Student tickets cost four dollars dollars and general admission tickets cost six dollars. You sell 450 tickets and collect $2340. How many of each type of ticket did you sell?

Another way, using Simultaneous Equations:

Numbers of tickets: Student (s) tickets + General Admission (g) tickets = 450, or s + g = 450

Numbers of dollars: 4s + 6g = 2340

4s + 6g = 2340

s + g = 450. Multiply the bottom equation by -4: -4s - 4g = -1800

Now we have:

4s + 6g = 2340

-4s - 4g = -1800

=========== (add them together)

+2g = 540

or **g = 270, the number of General Admissions tickets sold**

s + g = 450; s = 450 - g; s = 450 - 270, so **s = 180, the number of Student tickets sold**

Check the dollar amounts:

4s + 6g = 2340

4(180) + 6(270) = 2340; 720 + 1620 = 2340, and 2340 = 2340, so we know we are correct.