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Sixteen and two thirds percent of x equals 3.2 what is x?

Can anyone help me solve this my final answer I get is forty eight over two hundred fifty but I am not sure if this is correct?

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Use a calculator –  Joel Cornett May 3 '12 at 21:43
    
If 16% of x is 3.2, would you expect x to be greater or less than 3.2? –  Joel Cornett May 3 '12 at 21:45
    
Can you express sixteen and two thirds percent as a fraction? –  Mark Bennet May 3 '12 at 21:49
    
yes it is 50/3 is the fraction. –  James May 3 '12 at 21:53
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Percent ($\%$) means divided by $100$. So it is a funny way to refer to the fraction $\frac{\frac{50}{3}}{100}$. This simplifies to $1/6$. –  André Nicolas May 3 '12 at 21:57
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1 Answer

Hint: $16\frac 23 \%=\frac {50}3 \cdot \frac 1{100}=\frac 16$

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hmm how would I utilize this 1/6 to solve the problem?never mind solved it. I got my answer as x=19.2 once I set the 1/6x=3.2 –  James May 3 '12 at 22:02
    
Write your equation as $\frac 16 x = 3.2$ and solve. As the percentage is less than $100\%$ you should expect that $x \gt 3.2$ which your original solution is not. –  Ross Millikan May 3 '12 at 22:04
    
Thank you for the hint it took me a second to figure it out. –  James May 3 '12 at 22:05
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