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24 September, 16:39

A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 20 maps and 15 books for a total of $60.00. At this store, how much less does a map sell for than a book?

(A) $0.25

(B) $0.50

(C) $0.75

(D) $1.00

(E) $l. 25

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  1. 24 September, 16:56
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    (B) $0.50

    Explanation:

    The total cost is a function of the number of maps sold and the number of books sold. To determine the cost of each, a set of equations have to be solved simultaneously.

    Let the cost of a map be m and that of a book be b

    12m + 10b = 38

    20m + 15b = 60

    6m + 5b = 19

    4m/3 + b = 4, b = 4 - 4m/3

    6m + 20 - 20m/3 = 19

    2m/3 = 1

    m = 3/2 = 1.50

    b = 4 - 4m/3

    b = 4 - 2 = 2

    The cost of a book is $2 while that of a map is $1.50

    Hence a map sell for $0.50 less than a book.
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