High School

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Solve for [tex]$x$[/tex].

[tex]\[

\frac{20}{50} = \frac{30}{x}

\][/tex]

A. [tex]x = 12[/tex]
B. [tex]x = 33.3[/tex]
C. [tex]x = 60[/tex]
D. [tex]x = 75[/tex]

Answer :

To solve the equation [tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex] for [tex]\(x\)[/tex], follow these steps:

1. Set up the equation:
[tex]\(\frac{20}{50} = \frac{30}{x}\)[/tex].

2. Cross-multiply the terms:
Multiply 20 by [tex]\(x\)[/tex] and 50 by 30, creating the equation:
[tex]\(20 \times x = 30 \times 50\)[/tex].

3. Simplify the right-hand side:
Calculate [tex]\(30 \times 50\)[/tex], which equals 1500.

4. Rewrite the equation:
The equation now is [tex]\(20x = 1500\)[/tex].

5. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to isolate [tex]\(x\)[/tex]:
[tex]\[
x = \frac{1500}{20}
\][/tex]

6. Calculate the value of [tex]\(x\)[/tex]:
[tex]\(\frac{1500}{20} = 75\)[/tex].

Therefore, the solution for [tex]\(x\)[/tex] is 75.

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