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Thread: 150 is 66 2/3 % of what number?

  1. #1
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    150 is 66 2/3 % of what number?

    150 is 66 2/3 % of what number?

    31.5 is 33 1/3 % of what number?
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by benjixbunn View Post
    150 is 66 2/3 % of what number?

    31.5 is 33 1/3 % of what number?
    What this question is asking is...

    $\displaystyle 66 \frac{2}{3}$% $\displaystyle = 66.67$% $\displaystyle =.6667 = 2/3$

    $\displaystyle \Rightarrow x \times 2/3 = 150.$ Solve for $\displaystyle x.$ Then,

    $\displaystyle \Rightarrow x = \frac{150}{2/3} = 225.$

    Similarly,

    $\displaystyle 33 \frac{1}{3}$% $\displaystyle = 33.33$% $\displaystyle =.3333 = 1/3$

    $\displaystyle \Rightarrow x \times 1/3 = 31.5.$ Solve for $\displaystyle x.$ Then,

    $\displaystyle \Rightarrow x = \frac{31.5}{1/3} = 94.5.$
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  3. #3
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    please help me, i dont understad the last steps, how do i get from the 150/ 2/3 to 225 and 31.5/ 1/3 to 94.5
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    Super Member Anonymous1's Avatar
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    $\displaystyle \frac{150}{2/3} = 150 \times \frac{3}{2} = \frac{450}{2}= 225$
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