How would I find the following percentage:
33 1/3% of what number is 26.6
and
66 2/3% of what number is 65.2
Your help is appreciated.
You need to use two concepts - 1)Writing percentages as decimals 2)Writing math sentences into algebraic sentences, or equations
33 1/3% = .3333... or 10/3 to be exact. So (10/3)x=65.2
That last part says that .3333 times some number, x, equals 65.2 which is the problem you want to solve, just put into an equation. Solve for x.
Ok have a think.
Let $\displaystyle x$ be the number you need to find out (the original number)
We have 33 and 1/3 of that number equals 26.6. Let "that number" be x.
$\displaystyle \frac {33.3333}{100}x = 26.6 $
Do you understand what I'm doing?
Now you finish it off and do it for the other one.