GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Word Problem: The total amount that Dan paid for a meal...
[#permalink]
05 Nov 2015, 06:35
05 Nov 2015, 06:35
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
40% (02:49) correct
60% (02:37) wrong based on 5 sessions
Hide Show timer Statistics
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.
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].
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
