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Kim purchased n items from a catalog for $8 each.

This topic has 3 expert replies and 0 member replies

Kim purchased n items from a catalog for $8 each.

Post Wed Nov 08, 2017 7:55 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?

    (A) 8n + 2
    (B) 8n + 4
    (C) 9n + 2
    (D) 9n + 3
    (E) 9n + 4

    The OA is C.

    I am confused. I thought the correct answer should be A. Why is C?

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    Post Wed Nov 08, 2017 1:50 pm
    Hello Vjesus12, I hope you're well.

    First, as Kim purchased "n" items, we have to notice that the total cost for these "n" items is $ 8n , because each item cost $8.

    Now, let's calculate the postage and handling charges.

    For the first item $3.

    For the rest "n-1" items $1. It implies a total of 1*(n-1)=n-1.

    So, the total of postage and handling charges is: $ 3+(n-1) = $ 2+n.

    So, the total dollar amount for Kim's purchase is: $ 8n + 2 + n = $ 9n +2.

    So, the correct answer is option C.

    I hope it can help you.

    I'm available if you'd like any follow up.

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    Post Wed Nov 08, 2017 2:42 pm
    VJesus12 wrote:
    Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?

    (A) 8n + 2
    (B) 8n + 4
    (C) 9n + 2
    (D) 9n + 3
    (E) 9n + 4
    Let n =1, implying that one item is purchased for a price of $8 plus $3 shipping -- a total cost of $11.
    Since the question stem asks for the total cost of Kim's purchase, the target value is $11.
    Now plug n=1 into the answers to see which yields the target value of 11.
    Only C works:
    9n + 2 = (9*1) + 2 = 11.

    The correct answer is C.

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    GMAT/MBA Expert

    Post Thu Nov 09, 2017 7:10 pm
    We've got ONE item that costs $8 + $3 and (n - 1) items that each cost $8 + $1, so our total is

    $11 + (n - 1)*$9, or

    $11 + $9n - $9, or

    $9n + $2

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