SOLUTION: Karim read the book in 3 days. During the first day he read 1/5 of the book. During the second day he read 5/8 of what had left. On the third day he read 1/3 of what left and last

Algebra ->  Proportions  -> Lessons -> SOLUTION: Karim read the book in 3 days. During the first day he read 1/5 of the book. During the second day he read 5/8 of what had left. On the third day he read 1/3 of what left and last       Log On


   



Question 1057965: Karim read the book in 3 days. During the first day he read 1/5 of the book. During the second day he read 5/8 of what had left. On the third day he read 1/3 of what left and last 16 pages. How many pages was in the book?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of pages in the book
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He read +%28+1%2F5%29%2An+ on the 1st day,
so there are +%284%2F5%29%2An+ pages left
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On the 2nd day, he read
+%285%2F8%29%2A%284%2F5%29%2An+=+%281%2F2%29%2An+
So far he has read +%281%2F5%29%2An+%2B+%281%2F2%29%2An+=+%287%2F10%29%2An+
There are +%283%2F10%29%2An+ pages left
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On the 3rd day, he read the remaining pages,
so I can say:
+%283%2F10%29%2An+=+%281%2F3%29%2A%283%2F10%29%2An+%2B+16+
+%283%2F10%29%2An+=+%281%2F10%29%2An+%2B+16+
+%283%2F10%29n+-+%281%2F10%29%2An+=+16+
+%281%2F5%29%2An+=+16+
+n+=+80+
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There were 80 pages in the book
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check:
The 1st day he read +%281%2F5%29%2A80+=+16+ pages
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On the 2nd day, he read +%285%2F8%29%2A%284%2F5%29%2A80+=+40+ pages
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So far he has read +16+%2B+40+=+56+ pages
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On the 3rd day, he read the remaining pages
+80+-+56+=+%281%2F3%29%2A%28+80+-+56+%29+%2B+16+
+24+=+%281%2F3%29%2A24+%2B+16+
+24+=+8+%2B+16+
+24+=+24+
OK
Hope I got it!