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 problem [tex]\(\frac{20}{50}=\frac{30}{x}\)[/tex], we can use cross-multiplication. Cross-multiplication is a method for solving equations that involve fractions.

Here's how to solve it step-by-step:

1. Start with the equation:
[tex]\[
\frac{20}{50} = \frac{30}{x}
\][/tex]

2. Cross-multiply to eliminate the fractions. This means you multiply the numerator of one fraction by the denominator of the other fraction:
[tex]\[
20 \times x = 30 \times 50
\][/tex]

3. Simplify the multiplication on the right side:
[tex]\[
20x = 1500
\][/tex]

4. To solve for [tex]\(x\)[/tex], divide both sides of the equation by 20:
[tex]\[
x = \frac{1500}{20}
\][/tex]

5. Perform the division:
[tex]\[
x = 75
\][/tex]

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

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Rewritten by : Barada