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A concert venue sold 8000 tickets for a total revenue of 250,000. VIP tickets cost 50 and popular stand tickets cost $30. How many of each type of ticket were sold?
Mathematics
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Step-by-step solution
5 stepsDefine variables and set up equations based on the given information.
Let be the number of VIP tickets sold and be the number of popular stand tickets sold.
We are given:- Total number of people: 8000
- Price of VIP ticket:
\50$ - Price of popular stand ticket:
\30$ - Total revenue:
\250,000$
From this, we can form two equations:
Solve Equation 1 for in terms of .
Substitute the expression for into Equation 2.
Simplify and solve for .
Substitute the value of back into the expression for .
The number of VIP tickets sold is 500 and the number of popular stand tickets sold is 7500.
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