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Word Problem: The total amount that Dan paid for a meal...
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05 Nov 2015, 06:35
05 Nov 2015, 06:35
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Question Stats:
40% (02:49) correct
60% (02:37) wrong based on 5 sessions
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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.
_________________
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.
_________________
Ryan Born, Senior GRE Instructor, PowerScore Test Prep
Free GRE 101 Webinar, September 26 @ 8pm Eastern Time.
Reserve your spot! https://www.powerscore.com/freeseminars/gre/
Free GRE 101 Webinar, September 26 @ 8pm Eastern Time.
Reserve your spot! https://www.powerscore.com/freeseminars/gre/
Re: Word Problem: The total amount that Dan paid for a meal...
[#permalink]
05 Nov 2015, 06:37
05 Nov 2015, 06:37
1
Expert Reply
Show: :: Solution
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].
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].
_________________
Ryan Born, Senior GRE Instructor, PowerScore Test Prep
Free GRE 101 Webinar, September 26 @ 8pm Eastern Time.
Reserve your spot! https://www.powerscore.com/freeseminars/gre/
Free GRE 101 Webinar, September 26 @ 8pm Eastern Time.
Reserve your spot! https://www.powerscore.com/freeseminars/gre/
Re: Word Problem: The total amount that Dan paid for a meal...
[#permalink]
05 Jul 2017, 22:14
05 Jul 2017, 22:14
1
A,B
Re: Word Problem: The total amount that Dan paid for a meal...
[#permalink]
06 May 2021, 07:03
06 May 2021, 07:03
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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