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At a certain diner, a hamburger and coleslaw cost $3.59, and

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At a certain diner, a hamburger and coleslaw cost $3.59, and [#permalink]

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New post 10 Sep 2008, 08:35
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At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90

please show your calculations.

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Manager
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Re: PS. hamburgers and fries [#permalink]

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New post 10 Sep 2008, 08:55
asdert wrote:
I get 1.62 :S


i get exactly the same answer.
what is wrong here?
maybe the answers?

anyone else, give it a try!

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Re: PS. hamburgers and fries [#permalink]

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New post 10 Sep 2008, 08:56
From the stem:

H+C=3.59
H+F=4.40
F=2C

Thus,
H+F/2=3.59
F+F=4.40

We subtract:
F/2 = 0.81
F= 1.62

If F = 1.62
H = 4.40 - 1.62 = 2.78

Now let's check the other equation:
Does 3.59 - 2.78 = F/2 or .81?
Answer is yes, so I'm sure there's a problem with the answer choices.

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Re: PS. hamburgers and fries [#permalink]

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New post 10 Sep 2008, 09:00
I think there must be a typo in your question. Quick mental math as one might use during test: To go from 3.59 to 4.40 you added half an order of french fries (the first half substituting the coleslaw cost,) which is 81 cents. Times two is a full order at $1.62.


Here is a more formal solution:

b = burger
s = slaw
f = fries

two equations from the problem:
b + s = 3.59
b + f = 4.40

fry costs same as two slaws
f = 2s

substitute f = 2s into b + f = 4.40 to get
b + 2s = 4.40

then b + s = 3.59 can be rewritten as b = 3.59 - s, plug that into the above equation to get

3.59 - s + 2s = 4.40

reduce

3.59 + s = 4.40
s = 4.40 - 3.59

coleslaw s = 0.81
fries = s*2 = 1.62

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Re: PS. hamburgers and fries [#permalink]

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New post 10 Sep 2008, 09:01
I googled it and found the problem with different answer choices: http://www.takegmat.com/index.php/if-french-fries-cost-twice-as-much-as-coleslaw/

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Re: PS. hamburgers and fries [#permalink]

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New post 10 Sep 2008, 09:37
elmagnifico wrote:
At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90

please show your calculations.


Either the answer are wrong or the hamburger + cole slaw cost should be $3.95

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Re: PS. hamburgers and fries   [#permalink] 10 Sep 2008, 09:37
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