Dan sold half of his comic books and then bought 8 more. He now has 12. How many did he begin with?

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Dan sold half of his comic books and then bought 8 more. He now has 12. How many did he begin with?

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    2021-09-10T17:10:05+00:00

    Let’s say Dan started out with b comic books.

    He sold half of the, leaving (1/2)b books.

    He then bought 8 more, so that he owned (1/2)b + 8 books, or 12 books.

    Solve for b:  Subtract 8 books from both sides, obtaining (1/2)b = 4 books.

    Multiplying both sides by 2, to clear the fraction, we get b = 8 books.

    Dan started out with 8 books.

    He sold half, leaving himself with 4 books.

    Then he bought 8 more.  4 plus 8 is 12, which checks with the problem statement.

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