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January 30, 2015

January 30, 2015

Posted by **Da S** on Thursday, December 8, 2011 at 7:55am.

- math word problem(fraction) -
**Reiny**, Thursday, December 8, 2011 at 9:38amEnglish Please !

I will attempt to translate your question into correct and proper English.

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 one-twelveth(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)

cross-multiply

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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