Results 1 to 9 of 9

Math Help - percentage problem

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    essex
    Posts
    5

    percentage problem

    Hi

    This is just a one off problem.
    Two numbers 9 and 27 average to give 9.5
    What % of 9 and what % of 27 gives 9.5 at all please

    Can anyone be kind enough to help please with some workings
    Thanks
    Mark
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Paze's Avatar
    Joined
    Nov 2012
    From
    Iceland
    Posts
    379
    Thanks
    19

    Re: percentage problem

    To find out how many % is 9 of 9.5, you can write it as an equation
    9.5\cdot x=9\\\\x=\frac{9.5}{9}

    9.5 is therefore 105.5% of 9.

    Is this the answer to your question?
    Last edited by Paze; March 31st 2013 at 03:41 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2013
    From
    essex
    Posts
    5

    Re: percentage problem

    Thanks, i dont see how you got 94.7 ?

    9.5/9= 1.05???
    Im sorry but im not great at maths
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Mar 2013
    From
    essex
    Posts
    5

    Re: percentage problem

    if 9 is 94.7% of 9.5 thien it is 8.99, this means that 27 is 5.3% and is 1.4 which gives a value of 10.4 and not 9.5??
    I just dont get this
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Mar 2013
    From
    New York
    Posts
    15
    Thanks
    1

    Re: percentage problem

    You are basically finding a weighted average of 9 and 27. Let x be a percentage. 9x + (1-x)27 = 9.5

    -18x + 27 = 9.5

    -18x = -17.5

    x = 17.5/18 which is approximately 97.2%. So approximately 97.2% of 9 and approximately 2.8% of 27

    Howard Heller
    InteractiveMathTutor.com
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Senior Member Paze's Avatar
    Joined
    Nov 2012
    From
    Iceland
    Posts
    379
    Thanks
    19

    Re: percentage problem

    Quote Originally Posted by mscates176 View Post
    Thanks, i dont see how you got 94.7 ?

    9.5/9= 1.05???
    Im sorry but im not great at maths
    Whoops, I corrected my problem. I confused myself there.

    An easier approach will be to use my preferred method of asking: ''How many % is 9 of 9.5?''. When you ask this, you can put the first number in the denominator (up) and the second number in the numerator (down) and write \frac {9}{9.5}=0.94.7 or 94.7%. Percent just means 'per cent' which just means one out of a hundred. 1% is literally the number 0.01.

    This works for any pair of numbers. ''How many percent is 27 of 2 9.5?'' \frac{27}{9.5}=2.84 or 284%.
    Last edited by Paze; March 31st 2013 at 03:46 PM.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Newbie
    Joined
    Mar 2013
    From
    essex
    Posts
    5

    Re: percentage problem

    Thanks, but this still doesn't work because it means that the 27 is 5.3% which then gives a total value of 10.4
    Follow Math Help Forum on Facebook and Google+

  8. #8
    Senior Member Paze's Avatar
    Joined
    Nov 2012
    From
    Iceland
    Posts
    379
    Thanks
    19

    Re: percentage problem

    Quote Originally Posted by mscates176 View Post
    Thanks, but this still doesn't work because it means that the 27 is 5.3% which then gives a total value of 10.4
    Yes, I notice now that you are talking about weighted averages. That is another form of problem all together. IMTinstructor answered with respect to that up there.
    Follow Math Help Forum on Facebook and Google+

  9. #9
    Newbie
    Joined
    Mar 2013
    From
    essex
    Posts
    5

    Re: percentage problem

    Thankyou for your help the 97.2 is correct. That works.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 26th 2011, 09:19 PM
  2. Percentage Problem
    Posted in the Algebra Forum
    Replies: 4
    Last Post: October 14th 2010, 10:14 PM
  3. Help with percentage problem please!
    Posted in the Algebra Forum
    Replies: 2
    Last Post: February 3rd 2010, 09:54 AM
  4. Percentage problem
    Posted in the Algebra Forum
    Replies: 3
    Last Post: December 5th 2009, 11:19 AM
  5. Percentage Problem.
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 13th 2009, 04:58 PM

Search Tags


/mathhelpforum @mathhelpforum