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If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?
- a)y/200
- b)2y
- c)50y
- d)50/y
- e)5000/y
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, ...
Since there are variables in the answer choices, as well as in the question stem, one way to approach this problem is to pick numbers and test each answer choice. We know that x is m percent of 2y, so pick values for m and y, then solve for x.
y = 100
m = 40
x is m percent of 2y, or x is 40 percent of 200, so x = (0.40)(200) = 80.
y = 100
m = 40
x is m percent of 2y, or x is 40 percent of 200, so x = (0.40)(200) = 80.
So, for the numbers we are using, m is what percent of x? Well, m = 40, which is half of x = 80. Thus, m is 50 percent of x. The answer choice that equals 50 will be the correct choice.
(A) y/200 = 100/200 = 0.5 WRONG
(B) 2y = (2)(100) = 200 WRONG
(C) 50y = (50)(100) = 5000 WRONG
(D) 50/y = 50/100 = 0.5 WRONG
(E) 5000/y = 5000/100 = 50 CORRECT
(B) 2y = (2)(100) = 200 WRONG
(C) 50y = (50)(100) = 5000 WRONG
(D) 50/y = 50/100 = 0.5 WRONG
(E) 5000/y = 5000/100 = 50 CORRECT
Alternatively, we can pursue an algebraic solution.
We are given the fact that x is m percent of 2y, or x = (m/100)(2y) = my/50. Since the question asks about m (“m is what percent of x?”), we should solve this equation for m to get m = (50/y)(x).
Putting the question “m is what percent of x?” into equation form, with the word “Answer” as a placeholder, m = (Answer/100)(x).
Now we have two equations for m. If we set them equal, we can solve for the “Answer.”
(Answer/100)(x) = (50/y)(x)
(Answer/100) = (50/y)
Answer = 5000/y
(Answer/100)(x) = (50/y)(x)
(Answer/100) = (50/y)
Answer = 5000/y
The correct answer is E.
Most Upvoted Answer
If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, ...
In order to answer the question, I would need more information about what "m" represents.
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If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?a)y/200b)2yc)50yd)50/ye)5000/yCorrect answer is option 'E'. Can you explain this answer?
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