Step 1:Identify target unknowns.
Identify them as variables.
Recall that variables do not have to be X and Y. They could be initials to the target unknowns, such as C for carrots, and P for potatoes.
Here we have
G=number of general admissions sold
S=number of student tickets sold
Step 2:
Express the relevant facts as mathematical equations.
"150 tickets have been sold" =>
S+G=150...............(1)
"$900 has been collected"
means total revenue is $900.
Revenue from students=5S
Revenue from general=8G
So
5S+8G=900................(2)
Step 3:Solve the equations set up in step 2.
S+G=150 ...............(1)
5S+8G=900 ................(2)
Here we solve by first eliminating S
(2)-5(1)
5S+8G - (5S+5G) = 900-5(150)
simplify
5S-5S+8G-5G=900-750 =>
3G=150
G=50
So 50 General admission tickets were sold.
Substitute G in equation (1) to find S, the number of student tickets sold is your next step.
Step 4:
Once you have found the solutions, substitute back into equations (1) and (2) to check for correctness of the answers.
Above solves parts (A) and (C).
To do graphing, you need a good video or class for that. Try for example:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/graphs-of-linear-equations
or use the graphing tool Desmos at
Desmos.com to help you.
Part D:
Propose and post an answer, we can discuss.
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.
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.
1 answer