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A man buys four books from the store and a preferred reader discount card for $20. Later that day, he goes back and buys five more books. He also got $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

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  1. 31 May, 03:43
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    Let x be the cost of each book.

    So, the cost of 4 books is 4x.

    For the purchase of 4 books, he got a discount of $20.

    So, the amount he paid for the first four books = 4x - 20.

    Now, the cost of 5 books is 5x.

    For the purchase of 5 books, he got another discount of $5.

    So, the amount he paid for the five books = 5x - 5.

    Total money spent = $87.

    Therefore, (4x - 20) + (5x - 5) = 87

    4x + 5x - 20 - 5 = 87

    9x - 25 = 87

    9x = 87 + 25

    9x = 112

    Divide both sides by 9.

    x = 12.4

    Hence, the cost of each book = $12.4.
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