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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

b = 42 c f

The given equation relates the positive numbers b , c , and f . Which equation correctly expresses c in terms of b and f ?

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Explanation

Choice A is correct. It's given that the equation b=42cf relates the positive numbers b , c , and f . Dividing each side of the given equation by 42 f yields b42f=c, or c=b42f. Thus, the equation c=b42f correctly expresses c in terms of b and f .

Choice B is incorrect. This equation can be rewritten as b=cf+42.

Choice C is incorrect. This equation can be rewritten as b=c42f.

Choice D is incorrect. This equation can be rewritten as b=42-c-f.