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Shawana made a schedule for reading books during 4 weeks (28 days) of

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Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?

A. 7
B. 8
C. 9
D. 10
E. 11
[Reveal] Spoiler: OA

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Re: Shawana made a schedule for reading books during 4 weeks (28 days) of [#permalink]

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Since Shawama can read upto 50 pages in a day, and doesn't read the next book on the same day,
once she has finished reading a book on that day.

She will read the following books for the following days.
Book1 - 253 pages will take 6 days
Book2 - 110 pages will take 3 days(Total : 9 days)
Book3 - 117 pages will take 3 days(Total : 12 days)
Book4 - 170 pages will take 4 days(Total : 16days)
Book5 - 155 pages will take 4 days(Total : 20 days)
Book6 - 50 pages will take 1 days (Total : 21 days)
Book7 - 205 pages will take 5 days(Total : 26 days)
Book8 - 70 pages will take 2 days (Total : 28 days)

Hence, she would have read 8 books in total at the completion of the 28th day(Option B)
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Shawana made a schedule for reading books during 4 weeks (28 days) of [#permalink]

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New post 17 Jun 2017, 11:58
AbdurRakib wrote:
Attachment:
2018.OG.05.079.q.jpg
Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?

A. 7
B. 8
C. 9
D. 10
E. 11


Shawana reads 50 pages per day. Exception will be that she will never begin the next book on the same day that she finishes the previous one.

Book 1 = 253 pages = 253/50 = 5 days and 3 pages left. Total of 6 days. (------ 6 days)

Book 2 = 110 pages = 110/50 = 2 days and 10 pages left. Total of 3 days. (------- 6 + 3 = 9 days)

Book 3 = 117 pages = 117/50 = 2 days and 17 pages left. Total of 3 days. ( -------- 9 + 3 = 12 days)

Book 4 = 170 pages = 170/50 = 3 days and 20 pages left. Total of 4 days. (------------ 12 + 4 = 16 days)

Book 5 = 155 pages = 155/50 = 3 days and 5 pages left. Total of 4 days. (----------- 16 + 4 = 20 days)

Book 6 = 50 pages = 50/50 = 1 day and 0 pages left. Total of 1 day. (------------- 20 + 1 = 21 days)

Book 7 = 205 pages = 205/50 = 4 days and 5 pages left. Total of 5 days. (------------ 21 + 5 = 26 days)

Book 8 = 70 pages = 70/50 = 1 day and 20 pages left. Total of 2 days. (--------------- 26 + 2 = 28 days)

Therefore she can read total of 8 books in 28 days. Answer (B)...

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Re: Shawana made a schedule for reading books during 4 weeks (28 days) of [#permalink]

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New post 14 Aug 2017, 07:41
If she finishes the 6th book on the 21st day, how can she start another one that day when Q stem said she can never start another book the same day.. ? please explain...
If I continue to start the 7th book on 22nd day the result will be A.

Thanks for help!

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Shawana made a schedule for reading books during 4 weeks (28 days) of [#permalink]

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AnnKatrin wrote:
If she finishes the 6th book on the 21st day, how can she start another one that day when Q stem said she can never start another book the same day.. ? please explain...
If I continue to start the 7th book on 22nd day the result will be A.

Thanks for help!


Hi AnnKatrin,

She finishes the 6th book on the 21st day.

Then, she starts the 7th book on the 22nd day, and reads 50 pages on the 22nd day.
She will read till the 100th page on the 23rd day
,she will read till the 150th page on the 24rth day
,she will read till the 200th page on the 25th day
,and she will read the remaining 5 pages(from 201 to 205) on the 26th day.

Now she starts the 8th book on the 27th day, 50 pages on day 27
and 20 remaining pages of the 70 page book on day 28.

Hence, she would have finished 8 books on the 28th day

Hope that helps you!
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Re: Shawana made a schedule for reading books during 4 weeks (28 days) of [#permalink]

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New post 18 Aug 2017, 08:59
AbdurRakib wrote:
Attachment:
2018.OG.05.079.q.jpg
Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?

A. 7
B. 8
C. 9
D. 10
E. 11


We will list the number of days it will take to read each book. Since Shawana does not start a new book the same day she finishes a book, the number of days for her to read a book will be one more than the number of pages of the book divided by 50 (ignoring remainders).

Book 1: 6 days
Book 2: 3 days (Total: 9 days)
Book 3: 3 days (Total: 12 days)
Book 4: 4 days (Total: 16 days)
Book 5: 4 days (Total: 20 days)
Book 6: 1 day (Total: 21 days)
Book 7: 5 days (Total: 26 days)
Book 8: 2 days (Total: 28 days)

So, in 28 days, Shawana will have finished 8 books.

Answer: B
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Re: Shawana made a schedule for reading books during 4 weeks (28 days) of   [#permalink] 18 Aug 2017, 08:59
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