SAT Math Practice Question #14167 - SATify | SATify

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SAT Math Practice Question #14167 - SATify | SATify

#14167

algebra

expressions

hard

105 sec

The given equation relates the positive variables $a, b, c,$ and $d$ . Which of the following is equivalent to $a$ ?
$\frac{10}{a} = \frac{10}{b} + \frac{10}{c} - \frac{10}{d}$

A.

$\frac{b c d}{c d + b d - b c}$

B.

$\frac{c d + b d - b c}{b c d}$

C.

$10 (c d + b d - b c)$

D.

$a + b + c - d$