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3/4 of the students in a school were girls and the rest were boys. 2/3 of the girls and 1/2 of the boys attended the school carnival. Find the total number of students in the school if 330 students did not attend the carnival.

  • math -

    g = 3b, since 3/4 = 3 * 1/4

    2/3 g + 1/2 b attended
    2/3 (3b) + 1/2 b = 5/2 b attended

    subtract that from the total (b+g) students:

    b+g - 5/2 b = 330
    4b - 5/2 b = 330
    3/2 b = 330
    b = 220
    so, g = 660

    There are 880 students
    660 girls and 220 boys

    440 girls and 110 boys attended: 550
    the remaining 330 did not attend.

    Nice twist to an otherwise common exercise.

  • math -

    IDK!!!

  • math -

    I got 250, That is a much more resonable answer

  • math -

    The actual answer is 880 students. I checked with my teacher.

  • math -

    since you add the 330 to the 550

  • math -

    so HAH! I beat you!!!!

  • math -

    250 boys

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