SAT Math Practice Question #14169 - SATify | SATify

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SAT Math Practice Question #14169 - SATify | SATify

#14169

algebra

expressions

hard

105 sec

The given equation relates the positive variables $r, s, t,$ and $u$ . Which of the following is equivalent to $u$ ?
$\frac{25}{r} = \frac{25}{s} - \frac{25}{t} + \frac{25}{u}$

A.

$\frac{s t - r t + rs}{rs t}$

B.

$\frac{rs t}{s t - r t + rs}$

C.

$r - s + t + u$

D.

$\frac{rs t}{s t + r t - rs}$