Question

find the variable x\ from

\\\frac{(5w)(3z)}{(2b)(2c)} = \frac{(a)(d)}{x}\\

\\(\bigcirc\\) \\(\frac{(2b)(2c)(ad)}{(5w)(3z)}\\)

\\(\bigcirc\\) \\(\frac{(a)(d)}{20}\\)

\\(\bigcirc\\) \\(\frac{(b)(c)}{5}\\)

Explanation:

Write down the given equation

$$ \frac{(5w)(3z)}{(2b)(2c)} = \frac{(a)(d)}{x} $$

Take the reciprocal of both sides

$$ \frac{(2b)(2c)}{(5w)(3z)} = \frac{x}{(a)(d)} $$

Isolate the variable x

$$ x = \frac{(2b)(2c)(a)(d)}{(5w)(3z)} $$

Answer:

• (A) \(\frac{(2b)(2c)(a)(d)}{(5w)(3z)}\) (Correct answer)
• (B) \(\frac{(a)(d)}{20}\)
• (C) \(\frac{(b)(c)}{5}\)