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  • 17-02-2019
  • Mathematics
contestada

32 is 90% of what number?

Respuesta :

gmany
gmany gmany
  • 17-02-2019

Answer:

[tex]\large\boxed{32\ is\ 90\%\ of\ 35\dfrac{5}{9}}[/tex]

Step-by-step explanation:

METHOD 1:

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

METHOD 2:

[tex]\begin{array}{cccc}32&-&90\%&\text{divide both sides by 9}\\\\\dfrac{32}{9}&-&10\%\end{array}\\\\\\90\%+10\%=100\%\to32+\dfrac{32}{9}=32+3\dfrac{5}{9}=35\dfrac{5}{9}[/tex]

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