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8 June, 19:49

During a sale at the bookstore, books sold for $3 and magazines sold for $2.50. Jan spent $16 and bought a total of 6 books and magazines. How many of each did she buy

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  1. 8 June, 20:27
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    In the given question, there are several information's of immense importance. using these information's the required answer can be easily deduced. It is already given that Jan had spent $16 for buying books and magazines. The cost of each book is $3 and the cost of each magazine is $2.50. Jan bought a total of 6 books and magazines.

    Let us assume that the number of books Jan bought = x

    the number of magazines Jan bought = y

    Then

    x + y = 6

    x = 6 - y

    and

    3x + 2.5y = 16

    Replacing the value of x from the first equation in the second we get

    3x + 2.5y = 16

    3 (6 - y) + 2.5y = 16

    18 - 3y + 2.5y = 16

    - 0.5y = - 2

    y = 2/0.5

    = 4

    Replacing the value of y in first equation we get

    x + y = 6

    x + 4 = 6

    x = 2

    So Jan bought 2 books and 4 magazines.
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