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?
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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.