Name
4.4
Period
Date
Think About a Plan
Systems With Three Variables
Sports A stadium has 49,000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 in
Section C. The number of seats in Section A equals the total number of seats in Sections B and C.
Suppose the stadium takes in $1,052,000 from each sold-out event. How many seats does each
section hold?
Understanding the Problem
1. Define a variable for each unknown in this problem.
Let x = ______________________________________
Let y = ______________________________________
Let z = ______________________________________
2. What system of equations represents this situation?
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Planning the Solution
3. Can you write a simpler equivalent equation for one of the equations in your
system? If so, write the equivalent equation.
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4. What method of solving looks easier for this problem? Explain.
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Getting an Answer
5. Solve the system of equations.
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6. How can you interpret the solution in the context of the problem?
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