High School

Why are the solutions to the proportions [tex]\frac{x}{10} = \frac{20}{50}[/tex] and [tex]\frac{x}{20}[/tex] the same?

A. Because both result in the equation [tex]10x = 500[/tex], which simplifies to [tex]x = 25[/tex].

B. Because both result in the equation [tex]10x = 500[/tex], which simplifies to [tex]x = 250[/tex].

C. Because both result in the equation [tex]10x = 1,000[/tex], which simplifies to [tex]x = 10[/tex].

D. Because both result in the equation [tex]10x = 1,000[/tex], which simplifies to [tex]x = 100[/tex].

Answer :

Final answer:

The solution to the proportion Х 10 20 50 is Х = 4.

Explanation:

To find the solutions to the proportions Х 10 20 50, we need to set up a proportion by setting the two ratios equal to one another:

  1. Х/10 = 20/50

Next, we cross multiply:

  1. Ҳ * 50 = 10 * 20
  2. 50Ҳ = 200

Now, divide both sides of the equation by 50 to solve for Х:

  1. Х = 200/50
  2. Х = 4

Therefore, the solution to the proportion Х 10 20 50 is Х = 4.

Learn more about Proportions here:

https://brainly.com/question/34018947

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