Events & Promotions
|
|
GMAT 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.
May 0510:00 AM PDT
-11:00 AM PDT
GMAT Inequalities is a high-frequency topic in GMAT Quant, but many students struggle because the concepts behave differently from standard algebra. Understanding the right rules, patterns, and edge cases can significantly improve both speed and accuracy.- May 06
08:30 AM PDT
-09:30 AM PDT
In Episode 3 of our GMAT Ninja Critical Reasoning series, we tackle Discrepancy, Paradox, and Explain an Oddity questions. You know the feeling: the passage gives you two facts that seem completely contradictory.... - May 08
08:00 AM PDT
-08:30 AM PDT
Join the special YouTube live-stream for selecting the winners of GMAT Club MBA Scholarships sponsored by Juno live. Watch who gets these coveted MBA scholarships offered by GMAT Club and Juno.
16 Sep 2014, 01:09
Kudos
Bookmarks
If 8 apples and 10 oranges cost as much as 22 apples and 4 oranges, how much does a combination of 7 oranges and 3 apples cost?
(1) An orange costs $0.04 more than an apple
(2) The ratio of the price of an orange to the price of an apple is 7:3
(1) An orange costs $0.04 more than an apple
(2) The ratio of the price of an orange to the price of an apple is 7:3
16 Sep 2014, 01:09
Kudos
Bookmarks
Official Solution:
If 8 apples and 10 oranges cost as much as 22 apples and 4 oranges, how much does a combination of 7 oranges and 3 apples cost?
Let \(o\) denote the price of an orange and \(a\) the price of an apple. We know from the stem that \(8a + 10o = 22a + 4o\), which gives \(14a = 6o\) and finally we get \(\frac{o}{a} = \frac{7}{3}\).
(1) An orange costs $0.04 more than an apple.
The above provides another equation: \(o = a + 0.04\). After solving the system of two linear equations for \(a\) and \(o\), we will be able to answer the question. Sufficient.
(2) The ratio of the price of an orange to the price of an apple is 7:3.
The above implies that \(\frac{o}{a} = \frac{7}{3}\). As we can see (2) just re-states the fact we already knew from the stem. So, it adds no additional useful info. Not sufficient.
Answer: A
If 8 apples and 10 oranges cost as much as 22 apples and 4 oranges, how much does a combination of 7 oranges and 3 apples cost?
Let \(o\) denote the price of an orange and \(a\) the price of an apple. We know from the stem that \(8a + 10o = 22a + 4o\), which gives \(14a = 6o\) and finally we get \(\frac{o}{a} = \frac{7}{3}\).
(1) An orange costs $0.04 more than an apple.
The above provides another equation: \(o = a + 0.04\). After solving the system of two linear equations for \(a\) and \(o\), we will be able to answer the question. Sufficient.
(2) The ratio of the price of an orange to the price of an apple is 7:3.
The above implies that \(\frac{o}{a} = \frac{7}{3}\). As we can see (2) just re-states the fact we already knew from the stem. So, it adds no additional useful info. Not sufficient.
Answer: A
09 Aug 2023, 06:22
Kudos
Bookmarks
I think this is a high-quality question and I agree with explanation.
