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][tex]$x = 60$[/tex][/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 simple steps:

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

2. Use cross-multiplication to eliminate the fractions:
Multiply across the equals sign diagonally:
[tex]\(20 \times x = 50 \times 30\)[/tex].

3. Calculate the products:
- On the left side, it's [tex]\(20 \times x = 20x\)[/tex].
- On the right side, it's [tex]\(50 \times 30 = 1500\)[/tex].

4. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 20 to solve for [tex]\(x\)[/tex]:
[tex]\(20x = 1500\)[/tex]
[tex]\(x = \frac{1500}{20}\)[/tex].
Simplify the division:
[tex]\(x = 75\)[/tex].

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