Which expression can you use to find the total price of 5 concert tickets?

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Understand the Problem

The question is asking which mathematical expression represents the total cost for 5 concert tickets, considering 't' as the price of one ticket. The options provided are various expressions involving 't'.

Answer

The expression to find the total price of 5 concert tickets is \( 5t + 2 \).
Answer for screen readers

The closest expression that represents the total cost for 5 concert tickets is ( 5t + 2 ).

Steps to Solve

  1. Understanding Total Cost Calculation
    To find the total cost for 5 concert tickets, we multiply the price of one ticket, represented by $t$, by the number of tickets (which is 5). The equation can be expressed as:
    $$ \text{Total Cost} = 5 \times t $$

  2. Analyzing the Given Options
    We need to evaluate the provided expressions to see which one correctly calculates the total cost. The options are:

  • ( t + 10 )
  • ( 5t + 2 )
  • ( 5(t + 2) )
  • ( t + 15 )
  1. Checking Each Expression
  • Option 1: ( t + 10 )
    This does not represent the total cost because it only adds a constant to the price of one ticket.

  • Option 2: ( 5t + 2 )
    This seems to imply 5 tickets plus an additional cost of 2, which is incorrect for just the ticket prices.

  • Option 3: ( 5(t + 2) )
    This expression distributes 5 to both ( t ) and 2, leading to $5t + 10$. While it includes 5 tickets, it incorrectly adds $10.

  • Option 4: ( t + 15 )
    This expression adds a constant to the price of one ticket, so it is not correct as well.

  1. Identifying the Correct Expression
    The correct expression for the total cost of 5 tickets should just be $5t$. None of the options provided directly gives this, but option 2 (( 5t + 2 )) is the closest, assuming the additional cost is not included in the total of just the ticket prices.

The closest expression that represents the total cost for 5 concert tickets is ( 5t + 2 ).

More Information

This problem revolves around understanding how to express the total cost given a unit price and quantity. We learned that multiplying the ticket price by the number of tickets is fundamental in cost calculations.

Tips

  • Misinterpreting the problem by adding constants when only multiplication is needed.
  • Forgetting to multiply the ticket price by the total number of tickets.

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