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At least 15 percent of the students registered for Professo

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At least 15 percent of the students registered for Professo [#permalink] New post 21 Jun 2017, 02:36
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At least 15 percent of the students registered for Professor Tyler’s course dropped out before the end of the course. The drop-out rate for Professor Quin’s course was 20 percent greater than that for Professor Tyler’s course. If 120 students remained on the last day of Professor Quin’s class, which of the following could be the number of students who signed up for Professor Quin’s class?

Indicate all such values.

❑ 42

❑ 135

❑ 142

❑ 146

❑ 147

❑ 162

❑ 184

❑ 185

[Reveal] Spoiler: OA
E,F,G,H
[Reveal] Spoiler: OA

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Re: At least 15 percent of the students registered for Professo [#permalink] New post 24 Sep 2017, 08:24
If the drop out rate of prof. Tayler class is at least 15% and drop out rate of prof. Quin class is 20% greater, it means that the drop out rate of Prof. Quin class is at least (1+0.2)*0.15 = 0.18. Then, given that there are 120 student at the end of the course, this means that 120 = X - 0.18X, where X is the total number of students at the beginning. It is easy to find that the minimal starting number of students is 146.34. Thus all the choice reporting a number greater than 146 are correct. Thus we have answer E, F, G, H to be right!
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Re: At least 15 percent of the students registered for Professo [#permalink] New post 24 Sep 2017, 20:44
Carcass wrote:


At least 15 percent of the students registered for Professor Tyler’s course dropped out before the end of the course. The drop-out rate for Professor Quin’s course was 20 percent greater than that for Professor Tyler’s course. If 120 students remained on the last day of Professor Quin’s class, which of the following could be the number of students who signed up for Professor Quin’s class?



Let X = Total number of students who signed up for Professor Quin’s class

Drop out rate of Quin's = 20% greater than than Tyler's rate

i.e Drop out rate of Quin's = 20% of 15

= 3 (That has to be greater than 15%)

= 18% (3+15)

According to the statement we have,

82% * X = 120 (since 18% dropped out, so 82 % remain in the last day)

or X = 146.34

So values above 146.34 are our answers.
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Re: At least 15 percent of the students registered for Professo   [#permalink] 24 Sep 2017, 20:44
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At least 15 percent of the students registered for Professo

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