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At a certain restaurant, if each hamburger costs the same am

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Director
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At a certain restaurant, if each hamburger costs the same am  [#permalink]

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New post 24 Feb 2013, 05:25
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At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.
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Re: At a certain restaurant, if each hamburger costs the same am  [#permalink]

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New post 24 Feb 2013, 05:52
fozzzy wrote:
At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.

Don't have OA

Please provided detailed explanations confused in how to form equations for this question.


let cost of one Ham. is c
form (1) => 3*c + 3*c*.06 = 4.77 => this gives the value of c.
from (2) = > 6*c + 6*c*.06 < 6.5 => does not give a unique value

therefor condition(1) alone is suffice.

Hence, my ans is "a"
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Re: At a certain restaurant, if each hamburger costs the same am  [#permalink]

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New post 24 Feb 2013, 19:50
I don't have the OA so I'll wait for a few more responses
Senior Manager
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Re: At a certain restaurant, if each hamburger costs the same am  [#permalink]

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New post 24 Feb 2013, 23:35
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2
Question - Cost of the hamburger before tax = x?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.
SUFFICIENT: Algebraically it can be represented as 3x + 0.06(3x)=4.77 -> Solve to x=$1.5

(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.
INSUFFICIENT: The total cost for 4 hamburgers including tax is < $6.5. This does not lead us to fixed price for hamburger. It can cost $0.50 or $1 with total cost being less than $6.50.

Hence choice (A) is the answer.
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Re: At a certain restaurant, if each hamburger costs the same am  [#permalink]

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