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Write an algebraic expression to represent the cost of \( x \) number of mezzanine ticke

Ask by Campbell Knight. in the United States
Feb 03,2025

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Answer

The cost of \( x \) mezzanine tickets is \( p \times x \).

Solution

To represent the total cost of purchasing \( x \) mezzanine tickets algebraically, you can use the following expression: \[ \text{Total Cost} = p \times x \] **Where:** - \( p \) represents the **price per mezzanine ticket**. - \( x \) represents the **number of mezzanine tickets** you are purchasing. **Example:** If each mezzanine ticket costs \$50 and you want to buy 3 tickets, the total cost would be: \[ \text{Total Cost} = 50 \times 3 = \$150 \] **Summary:** \[ \boxed{\text{Total Cost} = p \times x} \] This expression allows you to calculate the total cost by multiplying the price of a single mezzanine ticket (\( p \)) by the number of tickets you wish to buy (\( x \)).

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Beyond the Answer

If the cost of a single mezzanine ticket is $15, then the algebraic expression to represent the total cost of \( x \) number of mezzanine tickets would be \( 15x \). This means if you buy one ticket, it costs you $15, and if you buy two tickets, it costs you $30, and so on – just a simple multiplication of the ticket price by the number of tickets you desire! Now, if you're gung-ho about attending a concert and want to budget ahead, consider adding extra costs to your expression. For instance, if there's a service fee of $2 per ticket, you would modify it like this: \( 15x + 2x \), which simplifies to \( 17x \). This gives you a clearer picture of the true cost of your ticket adventure!

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