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Fifty percent of all the students attending a school on a certain day

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Fifty percent of all the students attending a school on a certain day  [#permalink]

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New post 11 Nov 2019, 04:23
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  55% (hard)

Question Stats:

48% (01:14) correct 52% (01:53) wrong based on 30 sessions

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Fifty percent of all the students attending a school on a certain day arrived by 7:00 AM. How many students arrived by 7:00 AM on that day?

(1) Fifteen students arrived between 7:00 AM and 8:00 AM, and 4/5 of that day’s total attending students arrived by 8:00 AM.

(2) Ten students arrived after 8:00 AM that day.



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Re: Fifty percent of all the students attending a school on a certain day  [#permalink]

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New post 11 Nov 2019, 09:07
Fifty percent of all the students attending a school on a certain day arrived by 7:00 AM. How many students arrived by 7:00 AM on that day?

(1) Fifteen students arrived between 7:00 AM and 8:00 AM, and 4/5 of that day’s total attending students arrived by 8:00 AM.
\(\frac{4}{5}\) means \(\frac{4}{5}*100=80%\) arrive by 8:00 AM. but fifteen students arrived between 7:00 AM and 8:00 AM.
Also, fifty percent of all the students attending a school on a certain day arrived by 7:00 AM, so 80%-50%=30%=15....100%=\(\frac{15}{30}*100=50\).
thus 50% or 25 students attending a school on a certain day arrived by 7:00 AM.

(2) Ten students arrived after 8:00 AM that day.
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Re: Fifty percent of all the students attending a school on a certain day  [#permalink]

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New post 12 Nov 2019, 22:06
Fifty percent of all the students attending a school on a certain day arrived by 7:00 AM. How many students arrived by 7:00 AM on that day?

(1) Fifteen students arrived between 7:00 AM and 8:00 AM, and 4/5 of that day’s total attending students arrived by 8:00 AM.

(2) Ten students arrived after 8:00 AM that day

From question stem, 50% students arrive by 7:00 AM. We have to find out the number of students who arrive by 7:00 AM.

(1) (4/5 - 1/2) = 3/10 of total students come between 7:00 AM and 8:00 AM. From this we can find out total number of students and students who arrive by 7:00 AM.SUFFICIENT.

(2) We don't know what percentage of total students these 10 students is, so NOT SUFFICIENT.

A is the answer.
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Re: Fifty percent of all the students attending a school on a certain day   [#permalink] 12 Nov 2019, 22:06
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