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Math Help - Either Courses

  1. #1
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    Either Courses

    In a class of 450 students, 300 are taking a mathematics course and 260 are taking a science course. If 140 of these students are taking both courses, how many students are not taking either of these courses?
    (1) 30 (3) 110
    (2) 40 (4) 140


    I know there is a formula or equation for "EITHER" questions such as this one.

    What is a good formula or equation to use to find the answer?
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  2. #2
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    Quote Originally Posted by magentarita View Post
    In a class of 450 students, 300 are taking a mathematics course and 260 are taking a science course. If 140 of these students are taking both courses, how many students are not taking either of these courses?
    (1) 30 (3) 110
    (2) 40 (4) 140

    I know there is a formula or equation for "EITHER" questions such as this one.

    What is a good formula or equation to use to find the answer?
    I'd suggest you draw a Venn diagram. From it, you should see that the number of students studying mathematics or science is 300 + 260 - 140 = 420 ....
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  3. #3
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    A + B - (A and B) = (A or B)
    Maths + Science - Both = Either
    300 + 260 - 140 = 420
    So 420 are taking either maths, science or both meaning that there are 30 students which are not taking either maths or science.
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  4. #4
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    yes...

    Quote Originally Posted by mr fantastic View Post
    I'd suggest you draw a Venn diagram. From it, you should see that the number of students studying mathematics or science is 300 + 260 - 140 = 420 ....
    Yes, but I know there is an equation given for such questions. I just can't think of it right now. At the end of the equation, there is a G_1 + G_2 to represent the two groups or something like that.

    Do you know which equation it is?
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