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To mail a package, the rate is x cents for the first pound [#permalink]
25 Aug 2011, 08:02

00:00

A

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E

Difficulty:

25% (medium)

Question Stats:

68% (02:09) correct
32% (00:44) wrong based on 62 sessions

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 seperately or combined as one package. Which method is cheaper and how much money is saved?

A. Combined, with a saving of x-y cents B. Combined, with a saving of y-x cents C. Combined, with a saving of x cents D. Separately, with a saving of x-y cents E. Separately, with a saving of y cents

hi there.. could anyone pls help to explain what does it mean by ".......saving of x-y cents, y-x cents" pls?I have difficult understand it..

Re: To mail a package [#permalink]
25 Aug 2011, 08:13

To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x>y. This means it costs x cent for the first pound in weight for example, 20 cents for the first pound. It costs y cents for the every pound in weight above this, for example 10 cents for pound 2 and 10 cents for pound 3. x is more than y. for example 20 cents vs. 10 cents

Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?

Re: To mail a package [#permalink]
25 Aug 2011, 08:42

miweekend wrote:

nammers wrote:

To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x>y. This means it costs x cent for the first pound in weight for example, 20 cents for the first pound. It costs y cents for the every pound in weight above this, for example 10 cents for pound 2 and 10 cents for pound 3. x is more than y. for example 20 cents vs. 10 cents

Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?

Combined is cheaper as we maximise y and minimize x. Answer is: 1) Combined, with a saving of x-y cents

thank you nammer.

I saw you are using (Separate Cost) - (Combined Cost). So it is (2x+6y) - (x+7y) = 2x + 6y - x - 7y = x-y <--- it makes sense here to conclude answer is A.

However, if we try using (Combined Cost) - (Separate Cost). isn't it ended up as Answer (B)

(x+7y) - (2x+6y) = x + 7y - 2x - 6y = -x+y which is a y-x

-> Combined, with a saving of y-x cents

I'm stuck here..

(x+7y) - (2x+6y) = x + 7y - 2x - 6y

It is the other way round as we are calculating saving You save 2x+6y And spend x+7y Therefore you save in total 2x+6y -(x +7y) = x-y _________________

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Re: To mail a package, the rate is x cents for the first pound [#permalink]
27 Jan 2012, 05:55

1

This post received KUDOS

Expert's post

miweekend wrote:

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 seperately or combined as one package. Which method is cheaper and how much money is saved?

A. Combined, with a saving of x-y cents B. Combined, with a saving of y-x cents C. Combined, with a saving of x cents D. Separately, with a saving of x-y cents E. Separately, with a saving of y cents

If we ship two packages separately it'll cost: 1x+2y for the 3 pounds package (x cents for the first pound and y cents for the additional 2 pounds) plus1x+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;

If we ship them together in one 8pound package it'll cost: 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.

Re: To mail a package, the rate is x cents for the first pound [#permalink]
03 Oct 2013, 07:25

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