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
To find out how many % is 9 of 9.5, you can write it as an equation
$\displaystyle 9.5\cdot x=9\\\\x=\frac{9.5}{9}$
9.5 is therefore 105.5% of 9.
Is this the answer to your question?
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
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 $\displaystyle \frac {9}{9.5}=0.94.7$ 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?'' $\displaystyle \frac{27}{9.5}=2.84$ or 284%.