Question

A major league baseball stadium sells three types of tickets. Reserved tickets are sold for $20 each, field-level tickets are sold for $50 each, and box seat tickets are sold $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field-level tickets. How many tickets of each do you have?

Answers

  1. There were six reserved tickets, three tickets for the field level, and one ticket for the box seat.

    How many tickets for each do you have?

    Let’s say that x stands for the number of tickets that have been reserved, y stands for the number of tickets at the field level, and z stands for the number of tickets in the box seats.
    Taking into consideration that a total of 10 tickets cost $370, the following equation may be used to express this data:
    20x + 50y + 100z = 370…….. (1)
    x + y + z = 10 (2)
    In addition, there were two times as many tickets for reserved seating as there were for field-level seating. The following equation may be used to express this:
    x = 2y
    x – 2y = 0…… (3)
    The result of concurrently solving equations 1, 2, and 3 is that
    x equals 6, y equals 3, and z equals 1
    There were six reserved tickets, three tickets for the field level, and one ticket for the box seat.
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