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.

Question

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)

Answer 1

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.

Answer 2

Yes, your solution is correct. The system of equations represents the number of student tickets (S) and general admission tickets (G) sold, with the given constraints of total tickets sold and total amount collected. From the equations, you correctly found that 100 student tickets and 50 general admission tickets were sold, which adds up to a total of 150 tickets. The graph also confirms this solution with the intersection point at (50, 100).