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# Ken wants to ship abroad 16 cubic meters of fine fabric. Shi

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Intern
Joined: 20 Jun 2011
Posts: 43
Ken wants to ship abroad 16 cubic meters of fine fabric. Shi  [#permalink]

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12 Jul 2012, 17:21
2
00:00

Difficulty:

55% (hard)

Question Stats:

72% (02:24) correct 28% (02:41) wrong based on 111 sessions

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Ken wants to ship abroad 16 cubic meters of fine fabric. Shipping costs $(x+y) per cubic meter for the first N cubic meters, and$(x−y) per cubic meter, for the part of the volume that exceeds N cubic meters. How much will Ken pay for the shipment, in dollars, in terms of N,x and y?

A. 16x+(2N-16)y
B 16x+2(16-N)y
C. (16-N)y+N*x
D. N*x+2(16-N)y
E. 16(x-y)+N*y
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Re: Ken wants to ship abroad 16 cubic meters of fine fabric. Shi  [#permalink]

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12 Jul 2012, 19:53
superpus07 wrote:
Ken wants to ship abroad 16 cubic meters of fine fabric. Shipping costs $(x+y) per cubic meter for the first N cubic meters, and$(x−y) per cubic meter, for the part of the volume that exceeds N cubic meters. How much will Ken pay for the shipment, in dollars, in terms of N,x and y?

A. 16x+(2N-16)y
B 16x+2(16-N)y
C. (16-N)y+N*x
D. N*x+2(16-N)y
E. 16(x-y)+N*y

Hi,

Case 1: 16>N
For first N volume, cost = N(x+y)
for rest of the volume, (16-N), cost = (16-N)(x-y)
total = N(x+y)+(16-N)(x-y) = 16x+(2N-16)y

Case 2: N>16,
Total cost = 16(x+y)

Clearly, we get the answer from first case.

Regards,
Math Expert
Joined: 02 Sep 2009
Posts: 58402
Re: Ken wants to ship abroad 16 cubic meters of fine fabric. Shi  [#permalink]

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13 Jul 2012, 02:27
2
superpus07 wrote:
Ken wants to ship abroad 16 cubic meters of fine fabric. Shipping costs $(x+y) per cubic meter for the first N cubic meters, and$(x−y) per cubic meter, for the part of the volume that exceeds N cubic meters. How much will Ken pay for the shipment, in dollars, in terms of N,x and y?

A. 16x+(2N-16)y
B 16x+2(16-N)y
C. (16-N)y+N*x
D. N*x+2(16-N)y
E. 16(x-y)+N*y

Plug some smart numbers for the variables.

Say $$N=16$$, $$x=1$$ and $$y=1$$. In this case we would have that shipping of the first 16 cubic meters (total) would cost simply 16*(1+1)=$32. Now, plug $$N=16$$, $$x=1$$ and $$y=1$$ in the answer choices to see which gives$32. Only answer choice A fits.

Note that for plug-in method it might happen that for some particular number(s) more than one option may give "correct" answer. In this case just pick some other numbers and check again these "correct" options only.

Hope it's clear.
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Re: Ken wants to ship abroad 16 cubic meters of fine fabric. Shi  [#permalink]

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27 Feb 2018, 04:06
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Re: Ken wants to ship abroad 16 cubic meters of fine fabric. Shi   [#permalink] 27 Feb 2018, 04:06
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