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Math Help - equation

  1. #1
    wjt
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    equation

    Can anyone please tell me the steps needed to solve this:

    r = 0.5272 x (r + 282); r = 314.4

    I know the answer, I do not know to arrive at it.
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  2. #2
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    Quote Originally Posted by wjt View Post
    Can anyone please tell me the steps needed to solve this:

    r = 0.5272 x (r + 282); r = 314.4

    I know the answer, I do not know to arrive at it.
    r = 0.5272r + 148.6704

    0.4728r = 148.6704

    r = \frac{148.6704}{0.4728}

    r = 314 (3s.f.)
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  3. #3
    wjt
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    Milo and equation

    Thanks for your reply. Unfortunately, I am still in the dark as I can not understand how you arrived at the numbers. I am a very elderly man, long past remembering math and I ask that you help me through the equation step by step. Thank you.
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  4. #4
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    Quote Originally Posted by wjt View Post
    Thanks for your reply. Unfortunately, I am still in the dark as I can not understand how you arrived at the numbers. I am a very elderly man, long past remembering math and I ask that you help me through the equation step by step. Thank you.
    which part do you not understand?
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  5. #5
    MHF Contributor
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    Talking

    Quote Originally Posted by wjt View Post
    I can not understand how you arrived at the numbers.
    To learn the steps for solving linear equations, try here.
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  6. #6
    wjt
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    Milo and equation

    Where did the "148.6704" and 0.4728 come from? What does sf mean? what does \frac mean? Sorry to be a nuisance but step by step is the only way I an learn at my age.
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  7. #7
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    Quote Originally Posted by wjt View Post
    Where did the "148.6704" and 0.4728 come from? What does sf mean? what does \frac mean? Sorry to be a nuisance but step by step is the only way I an learn at my age.
    r = 0.5272 * (r + 282)

    ok we need to multiply out the bracket.
    <br />
0.5272*r = 0.5272r
    0.5272*282 = 148.6704

    so we get

    1r = (0.5272r + 148.6704)

    right? get it?

    1r-0.5272r = 0.5272r - 0.5272r + 148.6704

    which give us 0.4728r on the left hand side and 0r on the right hand side.

    0.4728r = 148.6704

    then we just need to divide 0.4728 to find r.

    \frac{\rlap{/////}0.4728r}{\rlap{//////}0.4728}=\frac{148.6704}{0.4728}

    that will leave us r= \frac{148.6704}{0.4728}

    put that in your calculator or do the division by hand.

    you get r = 314.4.

    3s.f. means 3 significant figures.

    Hope this helps.
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