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20 November, 00:34

Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How many adult tickets and how many student tickets did Marc sell?

Select one:

a. 272 adult, 244 student

b. 249 adult, 267 student

c. 267 adult, 249 student

d. 244 adult, 272 student

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Answers (1)
  1. 20 November, 00:53
    0
    Let student tickets are x and adult tickets are y

    x + y = 516 ... x = 516 - y ... (substitute in 2)

    3x + 5y = 2046 ... (2)

    3 (516-y) + 5y = 2046

    1548 - 3y + 5y = 2046

    2y = 498

    y = 249

    x = 516 - y = 516 - 249 = 267

    so the correct answer is b
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