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The total amount that John paid at a certain restaurant

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Joined: 26 Jul 2014
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The total amount that John paid at a certain restaurant [#permalink]

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New post 26 Sep 2015, 12:56
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Question Stats:

91% (00:43) correct 9% (00:42) wrong based on 97 sessions

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The total amount that John paid at a certain restaurant consisted of the price of the meal, the tax, and the tip. If the total amount that John paid at the restaurant was $30, what was the price of John's meal?

(1) The sum of the tip and the tax was 20 percent of the price of john's meal.
(2) The ratio of the tax to the tip was 1 to 4.
[Reveal] Spoiler: OA

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Re: The total amount that John paid at a certain restaurant [#permalink]

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New post 26 Sep 2015, 13:20
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garsoltero wrote:
The total amount that John paid at a certain restaurant consisted of the price of the meal, the tax, and the tip. If the total amount that John paid at the restaurant was $30, what was the price of John's meal?

(1) The sum of the tip and the tax was 20 percent of the price of john's meal.
(2) The ratio of the tax to the tip was 1 to 4.


Let P, T1 and T2 be the price of the meal, tax and tip respectively.

Given, P+T1+T2=30, P=?

Statement 1, T1+T2=0.2*P ---> from the given equation, P+0.2P=30, you can solve for P. This statement is sufficient.

Statement 2, T1/T2 = 0.25 ---> T2=4*T1 ---> clearly this will lead to an equation with 2 variables, P+T1+4*T1=30---> P+5*T1=30. We can not eliminate T1 to get P. Thus this statement is NOT sufficient.


Thus A is the correct answer.

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Re: The total amount that John paid at a certain restaurant [#permalink]

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New post 10 Oct 2017, 07:49
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Re: The total amount that John paid at a certain restaurant   [#permalink] 10 Oct 2017, 07:49
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