High School

Solve the following problem:

\[ \frac{20}{50} = \frac{x}{400} \]

What is the value of \( x \)?

Answer :

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[tex] \frac{20}{50} = \frac{x}{400} \\ [/tex]

[tex] \frac{x}{400} = \frac{20}{50} \\ [/tex]

[tex] \frac{x}{400} = \frac{2}{5} \\ [/tex]

Multiply sides by 400

[tex]400 \times \frac{x}{400} = 400 \times \frac{2}{5} \\ [/tex]

[tex]x = 80 \times 5 \times \frac{2}{5} \\ [/tex]

5 s are simplifies

[tex]x = 80 \times 2[/tex]

[tex]x = 160[/tex]

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