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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], we can use cross multiplication. Here's how to do it step-by-step:

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

2. Cross multiply: Multiply the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction:
[tex]\[
20 \times x = 50 \times 30
\][/tex]

3. Calculate the products:
- The left side becomes [tex]\(20x\)[/tex].
- The right side becomes [tex]\(1500\)[/tex] (since [tex]\(50 \times 30 = 1500\)[/tex]).

4. Solve for [tex]\(x\)[/tex]: Now, divide both sides of the equation by 20 to isolate [tex]\(x\)[/tex]:
[tex]\[
20x = 1500
\][/tex]
[tex]\[
x = \frac{1500}{20}
\][/tex]
[tex]\[
x = 75
\][/tex]

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

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