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Children's tickets to a movie cost $7. Adult tickets cost $12. If 275 tickets were sold for a total of $2490.00, how many of each type were sold?

  • math -

    Let adult A and children C
    A + C = 275
    12A + 7C = 2490

    Substituting

    A = 275 -C

    12(275- C) + 7C = 2490

    3300 -12C + 7C = 2490

    3300 -5C = 2490

    3300-3300 -5C = 2490 - 3300

    -5C = -810

    C = 162

    A = 113

  • math -

    Excellent! Thank you Kuai!

  • math -

    You're welcome.

  • math -

    c 162
    a 113

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