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Ashley puts 45 stamps in an album. She puts the same number of stamps on each page, and 3 stamps on the last page. There are 2 more pages in the album than the number of stamps on each page. How many pages are in the album? How many stamps are on each page?

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  1. 30 May, 19:59
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    45 pages total

    3 on last page

    45-3=42

    there are 42 on the rest of the pages

    on each page, there are 2 more pages in album than then stamps on pages

    amount of stamps on pages with equal number of stamps is

    A=numberofpgest times number of stamps on pages

    number of pages=p

    number of stamps per papge=s

    a=ps

    2 more pages than stamps on pages

    p=2+s

    total number of stamps per page is s = (45-3) / (p-1)

    (what I did is I first got rid of number of stamps on last page, then got rid of the last page)

    P=2+s

    s = (45-3) / (2+s-1)

    s=42 / (s+1)

    times s+1 both sides

    s^2+s=42

    minus 42

    s^2+s-42=0

    factor

    (s-6) (s+7) = 0

    set equal to zero

    s-6=0

    s=6

    s+7=0

    s=-7, false, no negative stamps

    6 stamps per page

    sub

    p=2+s

    p=2+6

    p=8

    8 pages

    check

    last page is 3 so 8-1=7 page left

    7*6=42

    3+42=45

    correct

    there are

    8 pages in the album

    6 stamps per page
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