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At the beginning of a class, a classroom has 3 empty chairs and all

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At the beginning of a class, a classroom has 3 empty chairs and all  [#permalink]

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New post 17 Feb 2018, 07:47
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Question Stats:

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At the beginning of a class, a classroom has 3 empty chairs and all students are seated. No student leaves the classroom, and additional students equal to 20 percent of the number of students already seated enter the class late and fill the empty chairs. What is the total number of chairs in the classroom?

(A) 18

(B) 15

(C) 10

(D) 6

(E) 3

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At the beginning of a class, a classroom has 3 empty chairs and all  [#permalink]

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New post 17 Feb 2018, 08:05
Bunuel wrote:
At the beginning of a class, a classroom has 3 empty chairs and all students are seated. No student leaves the classroom, and additional students equal to 20 percent of the number of students already seated enter the class late and fill the empty chairs. What is the total number of chairs in the classroom?

(A) 18

(B) 15

(C) 10

(D) 6

(E) 3


Let the total students who are seated in the class be x.

If 20% of the students enter and fill the 3 empty chairs,
\(.2x = 3\) -> \(x = \frac{3}{0.2} = \frac{30}{2} = 15\)

Therefore, the total number of chairs in the classroom is 15(already seated) + 3(empty chairs) = 18(Option A)
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Re: At the beginning of a class, a classroom has 3 empty chairs and all  [#permalink]

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New post 17 Feb 2018, 08:06
Bunuel wrote:
At the beginning of a class, a classroom has 3 empty chairs and all students are seated. No student leaves the classroom, and additional students equal to 20 percent of the number of students already seated enter the class late and fill the empty chairs. What is the total number of chairs in the classroom?

(A) 18

(B) 15

(C) 10

(D) 6

(E) 3


Since the calculation is very straightforward, we'll just do it.
This is a Precise approach.

If 20% of the current number of students fill up 3 chairs then there are currently 3*5 = 15 students.
Then there are a total of 15 + 3 = 18 chairs.

(A) is our answer.
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Re: At the beginning of a class, a classroom has 3 empty chairs and all  [#permalink]

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New post 18 Feb 2018, 03:51
let the students seated currently be x
Students coming late = x/5.
Let Currently occupied seats by x students be y.
Empty chairs = 3. therefore, total chairs = y+3.

Now, x/5 students will fill 3 chairs--> x/5 = 3 --> x= 15.
So, currently occupied seats are 15 and total y+3 = 15+3= 18.
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Re: At the beginning of a class, a classroom has 3 empty chairs and all  [#permalink]

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New post 19 Feb 2018, 12:22
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Bunuel wrote:
At the beginning of a class, a classroom has 3 empty chairs and all students are seated. No student leaves the classroom, and additional students equal to 20 percent of the number of students already seated enter the class late and fill the empty chairs. What is the total number of chairs in the classroom?

(A) 18

(B) 15

(C) 10

(D) 6

(E) 3


Let N = the number of seated students ORIGINALLY in the class

We're told that the LATE student fill the 3 remaining seats.
So, there are 3 LATE students

We're also told that number of LATE students = 20 percent of the number of students already seated
In other words: number of LATE students = 20 percent of N
Or we can write: 3 = 0.2 N
So, N = 3/0.2 = 15

So, ORIGINALLY, there were 15 seated students AND 3 empty chairs

So, TOTAL number of chairs = 15 + 3 = 18

Answer: A

Cheers,
Brent
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Re: At the beginning of a class, a classroom has 3 empty chairs and all &nbs [#permalink] 19 Feb 2018, 12:22
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