College

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

1. Cross-Multiply: Start by cross-multiplying to eliminate the fractions. This means you'll multiply the numerator of one fraction by the denominator of the other fraction:

[tex]\[
20 \times x = 30 \times 50
\][/tex]

2. Simplify the Equation: Simplify the right side of the equation by multiplying:

[tex]\[
30 \times 50 = 1500
\][/tex]

So the equation becomes:

[tex]\[
20x = 1500
\][/tex]

3. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], divide both sides of the equation by 20:

[tex]\[
x = \frac{1500}{20}
\][/tex]

4. Calculate the Result:

[tex]\[
x = 75
\][/tex]

Thus, the value of [tex]\(x\)[/tex] is 75. Therefore, the correct answer is [tex]\(x = 75\)[/tex].

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