Question

32 is 90% of what number?

Answer 1

`\large\boxed{32\ is\ 90\%\ of\ 35(5)/(9)}`

Explanation:

METHOD 1:

`\begin{array}{ccc}32&-&90\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\90x=3200\qquad\text{divide both sides by 90}\\\\x=(3200)/(90)\\\\x=(320)/(9)\\\\x=35(5)/(9)`

METHOD 2:

`\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\(32)/(9)&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+(32)/(9)=32+3(5)/(9)=35(5)/(9)`