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Word Problem: The total amount that Dan paid for a meal...
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RBornPowerScore
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Word Problem: The total amount that Dan paid for a meal... [#permalink] New post  05 Nov 2015, 06:35
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The total amount that Dan paid for a meal was equal to the base price of the meal plus a 4% sales tax and a 5% service charge, each of which were applied to the base price of the meal. Dan paid for the meal with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true?

Indicate all such statements.

    [A] The base price of the meal was less than $9.10.
    [B] The base price of the meal was more than $6.50.
    [C] The sum of the sales tax and the service charge was less than $0.85.
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RBornPowerScore
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Re: Word Problem: The total amount that Dan paid for a meal... [#permalink] New post  05 Nov 2015, 06:37
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Step 1: Add the tax and service charge percentages, since both will apply to the base price of the meal.

4% + 5% = 9%.

Step 2: Find the maximum and the minimum of the meal's base price (BP). Use an inequality.

$7.01 ≤ 1.09BP ≤ $9.99
$6.43 ≤ BP ≤ $9.17.

Thus, [A] and [B] are incorrect, so all that's left to pick is [C].

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Re: Word Problem: The total amount that Dan paid for a meal... [#permalink] New post  05 Jul 2017, 22:14
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Re: Word Problem: The total amount that Dan paid for a meal... [#permalink] New post  06 May 2021, 07:03
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