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27 August, 00:56

A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets.

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  1. 27 August, 04:26
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    x = Number of tickets for the concert

    y = Price of the order of x tickets

    y = 14.5x + 5

    Step-by-step explanation:

    1. Let's review the information given to us to answer the question correctly:

    Order of 4 tickets has a price of $63

    Order of 6 tickets has a price of $92

    2. Write an equation to find the price of any amount of tickets.

    Let's find out the price of a ticket to understand if there's a service fee and how much is it, this way:

    Price of a ticket = (Order of 6 tickets - Order of 4 tickets) / 2

    Price of a ticket = (92 - 63) / 2

    Price of a ticket = 29/2 = 14.50

    If a ticket costs $ 14.50, 4 tickets will cost $ 58 and 6 tickets will cost $ 87, therefore there is a service or delivery fee of $ 5.

    Order of 4 tickets - Price of 4 tickets = Service or delivery fee

    Replacing, we have:

    63 - 58 = 5

    Order of 6 tickets - Price of 6 tickets = Service or delivery fee

    Replacing, we have:

    92 - 87 = 5

    Now, we can write the equation to find the price of an order of any amount of tickets, this way:

    x = Number of tickets for the concert

    y = Price of the order of x tickets

    y = 14.5x + 5
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