Student tickets to the Homecoming game cost $5 each. General admission tickets cost $8 each. So far, 150 tickets have been sold. $900 has been collected.

A. Write a system of equations for this model in standard form.

5S = Student tickets: 100 sold
8G = General Admissions: 50 sold

Equation 1: S+G = 150
(100) + (50) = 150

Equation 2: 5S+8G=900
50 times 8 = 400
100 times 5 = 500
400 + 500 = 900

S = 150 – G
8G + 5(150 – G) = 900
8G – 5G + 750 = 900
3G = 150
G = 50

B. Graph the system. ( let each square represents 20 units)

Lines intercept at (50, 100)

C. What is the solution to the system?

(50, 100)
Is this correct?

(sorry for multiple reposts)

1 answer

If you are making a repost, or a follow-up, it always help to post the link to the original post:
http://www.jiskha.com/display.cgi?id=1496379469

Part A:
You will need to complete the solution in finding what S is.

Parts B and C:
If you are not using x,y as variables, it is not clear what (50,100) means.
In this case, you will need to write
(G,S)=(50,100)

Otherwise, correct.