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27 July, 01:16

6.

Tickets to a basketball game cost $1.50

o a basketball game cost $1.50 for students and $3.25 for adults. The

school made $752.25 and sold 358 tickets. How many student and how many

adult tickets were sold?

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Answers (1)
  1. 27 July, 02:21
    0
    Answer: Adult tickets = 123

    Student tickets = 235

    Step-by-step explanation:

    Let x represent the number of adult tickets sold and

    let y represent the number of student tickets sold

    Then create two equations: Quantity & Cost

    Cost: 3.25x + 1.50y = 752.25

    Qty: x + y = 358

    I am going to solve the system using the substitution method.

    You can also solve using the elimination method.

    Since x + y = 358

    then y = 358 - x

    Substitute y in the Cost equation with 358 - x and solve for x

    3.25x + 1.50 (358 - x) = 752.25

    3.25x + 537 - 1.50x = 752.25

    1.75x + 537 = 752.25

    1.75x = 215.25

    x = 123

    Now substitute x with 123 into the Quantity equation to solve for y

    x + y = 358

    123 + y = 358

    y = 235
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