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One day at PQR high school, (1/12)th of the students were absent, and

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Bunuel
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One day at PQR high school, (1/12)th of the students were absent, and [#permalink] New post   22 Jul 2019, 01:00
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One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080
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NandishSS
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One day at PQR high school, (1/12)th of the students were absent, and [#permalink] New post   Updated on: 22 Jul 2019, 01:29
Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080


Let n be number of students.

(1/12)th of the students were absent = \(n/12\)

Remaining Students = \(11n/12\)

(1/5) of those present went on a field trip = \((11n/12)*1/5\) = \(11n/60\)

the number of students staying in the school that day was 704

Total = \(n/12+11n/60+704=n\) ==> \(4n/15+704=n\)

n=960

Hence D

Edited Calculation error, Thx Kinshook

Originally posted by NandishSS on 22 Jul 2019, 01:13.
Last edited by NandishSS on 22 Jul 2019, 01:29, edited 1 time in total.
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Re: One day at PQR high school, (1/12)th of the students were absent, and [#permalink] New post   22 Jul 2019, 01:17
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Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080



Given: One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. The number of students staying in the school that day was 704.
Asked: How many students are enrolled at PQR school ?

Let the number of students enrolled at PQR school be x
x/12 students were absent
11x/12 students were present
number of students went on a field trip = 11x/12 * 1/5 = 11x/60
Number of students who were absent or went on a field trip = x/12 + 11x/60 = 16x/60 = 4x/15
Number of students staying in the school = x - 4x/15 = 11x/15 = 704
x = 960

IMO D
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Re: One day at PQR high school, (1/12)th of the students were absent, and [#permalink] New post   22 Jul 2019, 01:19
NandishSS wrote:
Bunuel wrote:
One day at PQR high school, (1/12)th of the students were absent, and (1/5) of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are enrolled at PQR school ?

A. 880
B. 900
C. 920
D. 960
E. 1080


Let n be number of students.

(1/12)th of the students were absent = \(n/12\)

Remaining Students = \(11n/12\)

(1/5) of those present went on a field trip = \((11n/12)*1/5\) = \(11n/60\)

the number of students staying in the school that day was 704

Total = \(n/12+11n/60+704=n\) ==> \(12n/60+704=n\)

n=880

Hence A



Highlighted portion should be 16x/60 = 4x/15
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Re: One day at PQR high school, (1/12)th of the students were absent, and [#permalink] New post   05 May 2021, 01:50
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Re: One day at PQR high school, (1/12)th of the students were absent, and [#permalink]
05 May 2021, 01:50
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