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math word problem(fraction)

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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 one-twelveth(1over12) of de book in 6days.how many pages of de book did he read in de 6days? Help me..

  • math word problem(fraction) -

    English 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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