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In a school, 180 students study finance or accounting or both. If 60

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Bunuel
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In a school, 180 students study finance or accounting or both. If 60 [#permalink] New post   16 Aug 2019, 02:42
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In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

(1) Of the 180 students, 36 do not study accounting.

(2) A total of 144 students study accounting.
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D
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Re: In a school, 180 students study finance or accounting or both. If 60 [#permalink] New post   16 Aug 2019, 02:59
Bunuel wrote:
In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

(1) Of the 180 students, 36 do not study accounting.

(2) A total of 144 students study accounting.


Total = Finance + Accounting - Both + n

In a school, 180 students study finance or accounting or both. So n = Niether = 0

If 60 of these students do not study finance, Students who study Accounting = 60

(1) Of the 180 students, 36 do not study accounting. ==> French - Both = 36 ==> 120 - 36 = 84

Sufficient.

(2) A total of 144 students study accounting

144 students study accounting = Accounting - Both = 144 ==> Both = 144-60 = 84

Sufficient.

Hence D
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Re: In a school, 180 students study finance or accounting or both. If 60 [#permalink] New post   16 Aug 2019, 03:14
From the question, we know that 180 students study either accounting (A) or finance (F) or both (x).
We also know that 60 students do not study F.
The fact that the 180 students study either A or F or both means that a student taken out of the 180 study at least 1 of the subjects. So none = 0

Since students studying none is zero, students who do not study F is equal to students who study only A. So A only = 60.

1. We know that 36 do not study A, implying F only is 36.
But Fonly + Aonly + x = 180
60+36+x = 180
x = 84.
Statement 1 alone is sufficient since we are to determine the number of students who take both A and B as 84 students

Statement 2: a total 144 students study A.
Meaning 144= Aonly + x
144=60+x
x = 84.
Statement 2 alone is also sufficient to determine the number of students who take both subjects.

The answer is Therefore D.

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Re: In a school, 180 students study finance or accounting or both. If 60 [#permalink] New post   18 Sep 2019, 01:02
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Bunuel wrote:
In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

(1) Of the 180 students, 36 do not study accounting.

(2) A total of 144 students study accounting.


Official Explanation



This looks like an overlapping sets question of two sets, so we'll try to use the equation T = G1 + G2 - B + N. We know that T = 180. If 60 of the students do not study finance, then 180 - 60 = 120 of the students do study finance. We can call that G1. So we have

180 = 120 + G2 - B + N

and we are asked to find B. Actually, we also have the fact that N = 0, since we are told the students "study finance or accounting or both." Therefore, we have

180 = 120 + G2 - B

And all we need to solve is G2.On to the statements! Separately first.

Statement (1) allows us to infer the value of G2 = 180 - 36 = 144. Sufficient.

Statement (2) is effectively identical to Statement (1), so we can conclude that it is sufficient.

The correct answer is (D).
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Re: In a school, 180 students study finance or accounting or both. If 60 [#permalink] New post   18 Sep 2019, 01:03
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Bunuel wrote:
In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

(1) Of the 180 students, 36 do not study accounting.

(2) A total of 144 students study accounting.


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gmatclubot
Re: In a school, 180 students study finance or accounting or both. If 60 [#permalink]
18 Sep 2019, 01:03
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Bunuel
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