math word problem(fraction)
posted by Da S .
Chris read 312 pages of a book at first.he read the remaining pages in 20 days,w/ de same number of pages each day.during these 20 days,he read onetwelveth(1over12) of de book in 6days.how many pages of de book did he read in de 6days? Help me..

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Chris read 312 pages of a book at first. He read the remaining pages in 20 days, with the same number of pages each day. During these 20 days,he read onetwelveth(1over12) of the book in 6days. How many pages of the book did he read in those 6 days? Help me..
Let the total number of pages be x + 312.
So the number of pages left to be read in the 20 days is x
number of pages read per day = x/20
In 6 days he read (1/12) of the book
6(x/20) = (1/12)(x+312)
crossmultiply
72x = 20x + 6240
52x = 6240
x = 120
so each of the 20 days he read 120/20 or 6 pages.
so in 6 days he read 36 pages
Check:
total number of pages = 312+x = 432
he read 312 , leaving 120 pages to read in 20 days.
daily number of pages = 120/20 = 6 pages
so in 6 days he reads 36 pages
Is 36 equal to (1/2)(432) ? YES!
All is good.
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