SOLUTION: 300 is 4 7/9% more than what number? I tried but I keep getting it wrong.. please help :(

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Question 1206076: 300 is 4 7/9% more than what number?
I tried but I keep getting it wrong.. please help :(

Found 4 solutions by josgarithmetic, ikleyn, MathLover1, mananth:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n, what number

300=%28%284%267%2F9%29%2F%28100%29%29n%2Bn
300=n%28%284%267%2F9%29%2F100%29%29%2B1%29
300=n%28%2843%2F9%29%2F100%2B1%29
300=n%2843%2F900%2B1%29
270000=n%2843%2B900%29
n=270000%2F943
highlight%28n=286%26302%2F943%29


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Originally I misread the problem description. Solution here is my own.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
300 is 4 7/9% more than what number?
I tried but I keep getting it wrong.. please help :(
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4 7/9% is  the same as  %28%284%2A9+%2B+7%29%2F9%29 percent = %2836%2B7%29%2F9 percent = 43%2F9 percent = %281%2F100%29%2A%2843%2F9%29 = 43%2F900.


So, they want you find an unknown number x such that

    x + %2843%2F900%29x = 300.


Thus you have this simple equation to find x.

First step to solve is to multiply all the terms by 900 to run of the denominators.
You will get then

    900x + 43x = 900*300

    943x = 270000

       x = 270000%2F943 = 286.3203  (rounded).


Thus you found this mysterious number x = 286.3203.


To check, multiply it by 43/900 and add this product to 289.3203

      286.3203+%2B+286.3203%2A%2843%2F900%29 = use your calculator = 300.   The check is done.


ANSWER.  The unknown number is found now: it is 286.3203 (rounded).

Solved, with explanations.


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You have two other posts,  from  @josgarithmetic and from  @MathLover1.

They both are  FATALLY  INCORRECT,  so you better ignore they both for safety of your mind.


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The original "solution" from @josgarithmetic was gibberish (as, usually, half of his other posts are).

Then he waits until other solutions appear, disproving his results.

When he sees such solutions, he erases everything that he wrote before,
and re-write from other posts, re-telling them in his own words.

It is his standard "solution strategy" at this forum, which he uses just during several last months.


Really terrible "tutor", deserving to be removed from the forum.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

300 is 4%267%2F9% more than what number?
4+%267%2F9%=%2843%2F9%29%=%2843%2F9%29%2F100=43%2F900

%2843%2F900%29x=300
x=300%2F%2843%2F900%29
x+=+270000%2F43=> exact solution
or, approximately
x=6279

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let number be x
300= 4 7/9 % x +x
300 = 43/9 %x +x
300= (0.43/9 )x +x
0.43/9 =0.0477x+x
300 = 1.048x
300/1.048
286.322 is the number.