Question #ff2c1431 - SAT Suite Question Bank

ID: ff2c1431

Modded SAT Question Bank by Abdullah Mallik

$7 m = 5 (n + p)$

The given equation relates the positive numbers $m$ , $n$ , and $p$ . Which equation correctly gives $n$ in terms of $m$ and $p$ ?

$n = \frac{5 p}{7 m}$
$n = \frac{7 m}{5} - p$
$n = 5 (7 m) + p$
$n = 7 m - 5 - p$

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Correct Answer: B

Rationale

Choice B is correct. It's given that the equation $7 m = 5 (n + p)$ relates the positive numbers $m$ , $n$ , and $p$ . Dividing both sides of the given equation by $5$ yields $\frac{7 m}{5} = n + p$ . Subtracting $p$ from both sides of this equation yields $\frac{7 m}{5} - p = n$ , or $n = \frac{7 m}{5} - p$ . It follows that the equation $n = \frac{7 m}{5} - p$ correctly gives $n$ in terms of $m$ and $p$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

Question Difficulty: Medium