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17 March, 06:35

Bill sold 75 tickets for a Naked Season gig. he sold x £5 tickets and y £8 tickets. He collected £444. How many of each type of ticket did he sell?

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  1. 17 March, 08:33
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    Answer: £5 = 52 tickets, £8 = 23 tickets

    Step-by-step explanation:

    Quantity Cost

    £5 Tickets x 5x

    £8 Tickets y 8y

    TOTAL 75 444

    Cost: 5x + 8y = 444 → 1 (5x + 8y = 444) → 5x + 8y = 444

    Quantity: x + y = 75 → - 5 (x + y = 75) → - 5x - 5y = - 375

    3y = 69

    y = 23

    Input y = 23 into one of the original equations to solve for x:

    x + y = 75

    x + 23 = 75

    x = 52
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