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To mail a package, the rate is x cents for the first pound and y cents [#permalink]

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20 Jan 2008, 10:31

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To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?

(A) Combined, with a savings of x - y cents (B) Combined, with a savings of y - x cents (C) Combined, with a savings of x cents (D) Separately, with a savings of x - y cents (E) Separately, with a savings of y cents

Re: To mail a package, the rate is x cents for the first pound and y cents [#permalink]

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20 Jan 2008, 11:54

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obviously A. the only difference is paying for the first pound of the second package. if it's included with the first one, its price is Y, if mailed separately X. Then the difference is X-Y.

Re: To mail a package, the rate is x cents for the first pound and y cents [#permalink]

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To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?

(A) Combined, with a savings of x - y cents (B) Combined, with a savings of y - x cents (C) Combined, with a savings of x cents (D) Separately, with a savings of x - y cents (E) Separately, with a savings of y cents

Shipping separately costs \(1x+2y\) for the 3 pounds package (x cents for the first pound and y cents for the additional 2 pounds) plus \(1x+4y\) for the 5 pounds package (x cents for the first pound and y cents for the additional 4 pounds), so total cost of shipping separately is \((x+2y)+(x+4y)=2x+6y\);

Shipping together in one 8-pound package costs \(1x+7y\) (x cents for the first pound and y cents for the additional 7 pounds);

Difference: \(Separately-Together=(2x+6y)-(x+7y)=x-y\) --> as given that \(x>y\) then this difference is positive, which makes shipping together cheaper by \(x-y\) cents.

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