High School

Solve for \( x \).

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

a) \( x = 12 \)
b) \( x = 33.3 \)
c) \( x = 60 \)
d) \( x = 75 \)

Answer :

Final answer:

The value of x is 75.

Therefore, the correct option is d.

Explanation:

To solve for x, we are given the proportional equation 20 / 50 = 30 / x. This equation can be solved by cross-multiplication. We multiply the numerator of one fraction by the denominator of the other fraction, and we set them equal to each other:

20 * x = 50 * 30

Now we simplify:

20x = 1500

To find the value of x, we divide both sides by 20:

x = 1500 / 20

x = 75

So, the correct answer is d) x = 75.

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