Math Word Problem Please Help A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and s

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Math Word Problem Please Help
A community drama centre sells tickets to a play, they sell 216 tickets. Adult tickets cost $10.25 and student tickets cost $8.00. The total ticket sales came to $2117.25. How many student tickets were sold? How many adult tickets were sold?

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Tài Đức 5 months 2021-08-22T07:50:31+00:00 1 Answers 0 views 0

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    2021-08-22T07:51:43+00:00

    Answer: They sold 173 adult tickets and 43 student tickets.

    Step-by-step explanation:

    Equations:

    • 10.25x + 8y = 2117.25
    • x + y = 216
    • X = adult tickets.
    • Y = student tickets.

    Solving:

    • 10.25x + 8(216 – x) = 2117.25 (y = 216 – x, substitute in for y)
    • 10.25x + 1728 – 8x = 2117.25 (distribute)
    • 2.25x = 389.25 (combine like terms)
    • x = 173
    • 173 + y = 216 (solve for y)
    • y = 43

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