SAT Math Practice Question #39064 - SATify | SATify

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SAT Math Practice Question #39064 - SATify | SATify

#39064

fraction

simplification

manipulation

equations

algebra

hard

90 sec

Calculator OK

The equation $\frac{2}{3 ( x + 1 )} = \frac{5 z}{w}$ relates the positive numbers $x$ , $z$ , and $w$ . Which equation correctly expresses $x$ in terms of $z$ and $w$ ?

A.

$x = \frac{2 w}{15 z} - 1$

B.

$x = \frac{15 z}{2 w} - 1$

C.

$x = \frac{2 w - 15 z}{15}$

D.

$x = \frac{2 w}{15 z + 1}$