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SAT Math Practice Question #7541 - SATify | SATify

#7541

equations

algebra

real numbers

manipulation

radicals

simplification

medium

75 sec

$\frac{24 a}{8 b} = 4 c + 5$

The given equation relates the distinct positive real numbers $a$ , $b$ , and $c$ . Which equation correctly expresses $c$ in terms of $a$ and $b$ ?

A.

$c = (\frac{3 a}{4 b})^{2} - 5$

B.

$c = (\frac{3 a}{b})^{2} - 5$

C.

$c = \frac{3 a}{4 b} - 5$

D.

$c = (\frac{3 a}{4 b})^{2} + 5$