You buy books for 64 cents each, you plan to sell them for 75 cents each. You’re left with 100 unsold books, and you lost $12. How many boo

Question

You buy books for 64 cents each, you plan to sell them for 75 cents each. You’re left with 100 unsold books, and you lost $12. How many books did you sell ?

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Maya 2 weeks 2021-09-08T17:52:21+00:00 1 Answer 0

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    2021-09-08T17:53:44+00:00

    The number of books sold is 473.

    Step-by-step explanation:

    • The original cost of each book = $0.64
    • The selling price of each book = $0.75

    The difference between the original price and selling price of the book gives the profit per book.

    The profit of one book = Selling price – Original price

    Let,

    • The total number of books be ‘x’.
    • The number of books sold be ‘y’.
    • The unsold books is 100.
    • The total profit is -12 because it was gone to a loss of $12.

    Therefore, the equation is formed as

    total Profit = 0.75y – 0.64x

    0.75y – 0.64x = -12 ——–(1)

    Total books = sold books + unsold books

    x = y + 100

    x-y = 100  ——-(2)

    Substitute x= 100+y in the eq(1),

    0.75y – 0.64(100+y) = -12

    0.75y – 64 -0.64y = -12

    0.11y = -12 +64

    y = 52 / 0.11

    y = 472.7

    y ≅ 473

    The number of book sold is 473 books.

    The total number of books is (100+473) = 573 books.

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