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Of the first graders who were asked, 1/6 like math best, 2/3 liked reading best, and 12 liked science best. How many were asked their favorite subject?

  • Math -

    first we represent unknowns using variables,
    let x = the number of students asked
    then we set up the equation,, since the given were the fractional parts of the total number, we represent each part as
    (1/6)x : the number of students who like math
    (2/3)x : the number of students who like reading
    (1/6)x + (2/3)x + 12 = x
    (1/6)x + (4/6)x + 12 = x
    (5/6)x + 12 = x
    12 = x - (5/6)x
    12 = (1/6)x
    x = 72 students

    hope this helps~ :)

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