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# A school has a total enrollment of 90 students. There are 30 students

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BSchool Forum Moderator
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A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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19 May 2017, 02:25
3
1
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Difficulty:

65% (hard)

Question Stats:

49% (01:49) correct 51% (01:46) wrong based on 106 sessions

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A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English?

(A) 30%
(B) 36%
(C) 47%
(D) 51%
(E) 58%

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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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19 May 2017, 03:26
2
Students taking physics = 30 (these 30 include those 13 that take both)
Students taking english = 25 (these 25 also include those 13)

So those that take either physics or english or both = 30 + 25 - 13 = 42.

Required percentage = 42/90 * 100 = 47% approx

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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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22 May 2017, 18:47
rohan2345 wrote:
A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English?

(A) 30%
(B) 36%
(C) 47%
(D) 51%
(E) 58%

Since we need to determine the number of students who are taking either physics or English, we can use the following formula:

# of students who take physics or English = # who take English + # who take physics - # who take both

Either = 30 + 25 - 13 = 42

Thus, the percentage of students who are taking either physics or English is 42/90 = 0.4667 = 47%.

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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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25 May 2017, 05:11
1
rohan2345 wrote:
A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English?

(A) 30%
(B) 36%
(C) 47%
(D) 51%
(E) 58%

If the questions asks for students who take EITHER physics OR English.

Thus, if I pick a student who studies physics AND English, he studies both subject --> so he doesn't study EITHER physics OR English.

I focused on
a) the people studying only physics but not English (30-17 = 17)
b) and on the people only studying English but not physics (25-13 = 12)

17 physics students + 12 English students = 29/90 = 32,33%

Thanks!
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A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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25 May 2017, 05:54
1
rohan2345 wrote:
A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English?

(A) 30%
(B) 36%
(C) 47%
(D) 51%
(E) 58%

Total Students = 90
Students taking Both Physics and English = 13
Students taking Physics = 30
Students taking Only Physics = 30 - 13 = 17
Students taking English = 25
Students taking Only English = 25 - 13 = 12

Therefore Total Students taking Either Physics or English = 13 + 17 + 12 = 42

Percentage of the students are taking either physics or English = $$\frac{42}{90}$$ x 100 = 46.666% = Approximately = 47%
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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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25 May 2017, 06:25
1
sashiim20 wrote:
Total Students = 90
Students taking Both Physics and English = 13
Students taking Physics = 30
Students taking Only Physics = 30 - 13 = 17
Students taking English = 25
Students taking Only English = 25 - 13 = 12

Therefore Total Students taking Either Physics or English = 13 + 17 + 12 = 42

Percentage of the students are taking either physics or English = $$\frac{42}{90}$$ x 100 = 46.666% = Approximately = 47%

But if I add Students taking Only Physics (17), Students taking Only English (12) AND Students taking both (13), then I DON'T end up with students taking EITHER Physics OR English as the 13 students taking both subject have both subjects - and not Either English OR physics.

Do u understand my point?
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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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25 May 2017, 10:58
1
guenthermat wrote:
sashiim20 wrote:
Total Students = 90
Students taking Both Physics and English = 13
Students taking Physics = 30
Students taking Only Physics = 30 - 13 = 17
Students taking English = 25
Students taking Only English = 25 - 13 = 12

Therefore Total Students taking Either Physics or English = 13 + 17 + 12 = 42

Percentage of the students are taking either physics or English = $$\frac{42}{90}$$ x 100 = 46.666% = Approximately = 47%

But if I add Students taking Only Physics (17), Students taking Only English (12) AND Students taking both (13), then I DON'T end up with students taking EITHER Physics OR English as the 13 students taking both subject have both subjects - and not Either English OR physics.

Do u understand my point?

Hi

In Mathematics, especially in questions of sets/probability etc, if you come across a phrase 'Either A or B' it automatically means
'Either A or B or both'.

So if 5 people drink Only Pepsi, 7 people drink Only Coke, and 2 people drink both Pepsi and Coke, then it means
(5+7+2) = 14 people are there who drink 'Either Pepsi or Coke'. (Both is automatically included in this).

That's my understanding. Maybe Experts can confirm.
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Joined: 18 Mar 2017
Posts: 38
Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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25 May 2017, 15:36
amanvermagmat wrote:

Hi

In Mathematics, especially in questions of sets/probability etc, if you come across a phrase 'Either A or B' it automatically means
'Either A or B or both'.

So if 5 people drink Only Pepsi, 7 people drink Only Coke, and 2 people drink both Pepsi and Coke, then it means
(5+7+2) = 14 people are there who drink 'Either Pepsi or Coke'. (Both is automatically included in this).

That's my understanding. Maybe Experts can confirm.

This clarification helps a lot - thank you!
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Re: A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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13 Oct 2018, 02:17
amanvermagmat wrote:
guenthermat wrote:
sashiim20 wrote:
Total Students = 90
Students taking Both Physics and English = 13
Students taking Physics = 30
Students taking Only Physics = 30 - 13 = 17
Students taking English = 25
Students taking Only English = 25 - 13 = 12

Therefore Total Students taking Either Physics or English = 13 + 17 + 12 = 42

Percentage of the students are taking either physics or English = $$\frac{42}{90}$$ x 100 = 46.666% = Approximately = 47%

But if I add Students taking Only Physics (17), Students taking Only English (12) AND Students taking both (13), then I DON'T end up with students taking EITHER Physics OR English as the 13 students taking both subject have both subjects - and not Either English OR physics.

Do u understand my point?

Hi

In Mathematics, especially in questions of sets/probability etc, if you come across a phrase 'Either A or B' it automatically means
'Either A or B or both'.

So if 5 people drink Only Pepsi, 7 people drink Only Coke, and 2 people drink both Pepsi and Coke, then it means
(5+7+2) = 14 people are there who drink 'Either Pepsi or Coke'. (Both is automatically included in this).

That's my understanding. Maybe Experts can confirm.

Thank you for pointing this out, I also solved for students that attend only one of the respective classes.
After reading the respective explanation it makes sense to me that 47% is the right answer though.
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A school has a total enrollment of 90 students. There are 30 students  [#permalink]

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12 Mar 2019, 03:07
rohan2345 wrote:
A school has a total enrollment of 90 students. There are 30 students taking physics, 25 taking English, and 13 taking both. What percentage of the students are taking either physics or English?

(A) 30%
(B) 36%
(C) 47%
(D) 51%
(E) 58%

Hi, to all participants of this forum thread. I want to solve the problem that is presented in this thread of the forum.90 students go to school. 30 students learn physics. 25 students learn English. 13 students study physics and English. Students who study physics include students who study physics and English, include 13 students. Students who study English include students who study physics and English, include13 students. Then 30 + 25-13 = 42 students who study only physics or only English. Then 42 students study only physics or only English, 100 percent of students are 90 students. We make the proportion, and we find that 42 * 100/90 = 47% is the percentage of students who study either physics or English. The answer is C.
I want to add that I was surprised by the fact that the number of students who study English, which is a humanitarian subject, is the same as the number of students who study physics, which is a subject that people with a mathematical mindset learn. Usually, the number of students who study humanitarian subjects is bigger, because humanitarian subjects are easier than subjects that require a mathematical mindset. Moreover, students who study journalism, history, foreign literature and other humanitarian subjects have support from such services as service that do students assignments for students PapersOwl which makes studying subjects more easily and quickly. Unfortunately, students who study subjects such as mathematics, physics, chemistry, and other subjects that require a mathematical mindset do not have support from various services, which makes studying subjects more difficult and longer. In conclusion, I want to say that basically the study of humanitarian subjects is more popular only due to the fact that studying humanitarian subjects is easier. Therefore, the task is not real, the number of students is invented, not real. Usually, the number of students who study humanitarian subjects excels the number of students who study mathematical subjects twice, or even more.
A school has a total enrollment of 90 students. There are 30 students   [#permalink] 12 Mar 2019, 03:07
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