Which expression can you use to find the total price of 5 concert tickets?
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
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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:
$$ \text{Total Cost} = 5 \times t $$ -
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 )
- Checking Each Expression
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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.
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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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