Question

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

  1. Answer:
    x = 638
    y = 1190 – 638 = 552
    Step-by-step explanation:
    Let x = premium seats
    let y = regular seats
    x + y = 1190         (ten were not sold
    30x + 20y = 30180    (amount collected
    now multiply the first equation by 20 and subtract
    20x + 20y = 23800
    30x + 20y = 30180
    -10x = -6380
    x = 638
    y = 1190 – 638 = 552
    check it by multipying x and y by their price to see if you come up with the correct amount
    Hope this helps

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