Joey is selling tickets for a high school play.
Student tickets cost $4 and general admission tickets cost $6. He sells 525 tickets total. He collects $2,876.00.
S=number of student tickets.
G=number of general admission tickets.

Write a system of equations that can be used to find the number of students tickets, S and the number of general admission tickets, G that Joey sold. Solve the system!

Question

Joey is selling tickets for a high school play.
Student tickets cost $4 and general admission tickets cost $6. He sells 525 tickets total. He collects $2,876.00.
S=number of student tickets.
G=number of general admission tickets.

Write a system of equations that can be used to find the number of students tickets, S and the number of general admission tickets, G that Joey sold. Solve the system!

anonymous · Answer

Can anyone help me with this?

anonymous · Answer

s + g = 525
4s + 6g = 2876

Multiply the first equation by -4 :)

anonymous · Answer

-4s -4g = 2100
{-4s - 4g} = 2100 + 4s + 6g = 2876 = 0s + 2g = 776
2g = 776
g = 388
So it's 388 general admission tickets. I'm sure you can do the math to find the student tickets :)

anonymous · Answer

why is it not -2100??

anonymous · Answer

It is! Sorry, my keyboard is stuck!

anonymous · Answer

thought so! no biggie!

anonymous · Answer

im confused on this line
{-4s - 4g} = 2100 + 4s + 6g = 2876 = 0s + 2g = 776

anonymous · Answer

NVM :)

anonymous · Answer

{-4s - 4g} = -2100
+
4s + 6g = 2876
You eliminate 4s, subtract 4g from 6g, and subtract 2100 from 2876. (: