A mixture consisting of only vitamin D and calcium has a total mass of 150 grams. The mass of vitamin

Question

A mixture consisting of only vitamin D and calcium has a total mass of 150 grams. The mass of vitamin D in the mixture is 50 grams. What is the mass, in grams, of calcium in the mixture?

Accepted Answer

Choice C is correct. Let d represent the mass, in grams, of vitamin D in the mixture, and let c represent the mass, in grams, of calcium in the mixture. It&rsquo;s given that the mixture consists of only vitamin D and calcium and that the total mass of the mixture is 150 grams. Therefore, the equation d + c = 150 represents this situation. It&rsquo;s also given that the mass of vitamin D in the mixture is 50 grams. Substituting 50 for d in the equation d + c = 150 yields 50 + c = 150 . Subtracting 50 from both sides of this equation yields c = 100 . Therefore, the mass of calcium in the mixture is 100 grams. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect. This is the total mass, in grams, of the mixture, not the mass, in grams, of calcium in the mixture. Choice D is incorrect. This is the mass, in grams, of vitamin D in the mixture, not the mass, in grams, of calcium in the mixture.

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