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

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

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

Equation 1: S+G = 150 (100) + (50) = 150
Equation 2: 5S+8G=900

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

Need help checking and help with equation 2

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



C. What is the solution to the system?

D. Is (180, -30) a solution? Explain.

Answer 1

your equations are correct
your solution is correct

D is of course, not a solution. Not only does 5*180+8(-30)≠900, but -30 is not a valid number of tickets.

Answer 2

Are (50) and (100) the correct coordinates? just double checking.