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Math Help - Store Deduction

  1. #1
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    Store Deduction

    A store advertises that during its Labor Day sale $15 will be deducted from every purchase over $100. In addition, after the deduction is taken, the store offers an early-bird discount of 20% to any person who makes a purchase before 10 a.m. If Hakeem makes a purchase of x dollars, x > 100, at 8 a.m., what, in terms of x, is the cost of Hakeemís purchase?

    (1) 0.20x - 15 (3) 0.85x - 20
    (2) 0.20x -3 (4) 0.80x - 12
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  2. #2
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    Quote Originally Posted by symmetry View Post
    A store advertises that during its Labor Day sale $15 will be deducted from every purchase over $100. In addition, after the deduction is taken, the store offers an early-bird discount of 20% to any person who makes a purchase before 10 a.m. If Hakeem makes a purchase of x dollars, x > 100, at 8 a.m., what, in terms of x, is the cost of Hakeemís purchase?

    (1) 0.20x - 15 (3) 0.85x - 20
    (2) 0.20x -3 (4) 0.80x - 12
    Correct answer is (4):
    Hakkem made purchase of x dollars which is first deducted by $15 which is x-15 and then that price is lower by 20% which means that Hakkem will pay only 80% of (x-15) dollars, so we have equation:
    (x-15)*0.80 = 0.80x - 12

    Your question is not clear. To find what is the value of x you must know what is the value of Hakeem's purchase.
    Let's say he made a total purchase of y dollars.
    So we have.
    0.80x-12=y
    In terms of x solution is:
    x=(12+y)/0.80
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  3. #3
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    ok

    This question was not clear to me, too.

    However, it is in my textbook.

    Thanks!
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