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Math Help - Confusing SAT problem

  1. #1
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    Confusing SAT problem

    If a, b, c, and f are four nonzero numbers, then all of the following proportions are equivalent except:

    answer = a\f = b\c


    The other options are permutations of this like f\c = b\a or c\a = f\b

    Can someone explain why that is true? It says nonzero numbers so under certain circumstances can't I make it true? It seems that the problem doesn't describe enough for me to actually know
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  2. #2
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    Quote Originally Posted by Alan306090 View Post
    If a, b, c, and f are four nonzero numbers, then all of the following proportions are equivalent except:

    answer = a\f = b\c


    The other options are permutations of this like f\c = b\a or c\a = f\b

    Can someone explain why that is true? It says nonzero numbers so under certain circumstances can't I make it true? It seems that the problem doesn't describe enough for me to actually know
    1. Examine the 2 options:

    \frac fc=\frac ba~\implies~af=bc

    2. Do the same with the 2nd option and then with the first proportion.


    ..... AaaaaaHaa!
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