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Math Help - percentages

  1. #1
    in2wishin
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    percentages

    okay--this is easy--but i keep getting a different answer than what the teacher has given--what am i doing wrong?

    12 is one half percent of what number--

    he said it's 2400--
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by in2wishin View Post
    okay--this is easy--but i keep getting a different answer than what the teacher has given--what am i doing wrong?

    12 is one half percent of what number--

    he said it's 2400--
    your teacher is correct, who would have thunk it, right?

    recall that "percentage" means "out of 100" or "divided by 100." so saying 1/2 percent is the same as saying \frac {\frac {1}{2}}{100} = \frac {1}{200}

    also, in math, "of" means "multiply." so saying "1/2 percent of" means " \frac {1}{200} \times"

    So let the number be x

    since 12 is 1/2 percent of x, we have:

    12 = \frac {1}{200}x

    \Rightarrow x = 200(12) = 2400
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  3. #3
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    Quote Originally Posted by in2wishin View Post
    okay--this is easy--but i keep getting a different answer than what the teacher has given--what am i doing wrong?

    12 is one half percent of what number--

    he said it's 2400--

    I would think of it like this.

    12 = 1/2%
    24 = 1%

    Now you have an easier number to work with.

    1% x 100 = 100%
    24 x 100 = 2400

    I just work it out like that, though it may prove time consuming with more difficult questions. Just do the same to the left had side as to the right. I know your question has already been answered, but I tried to explain it in a different way.
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