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.
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
31 Dec 2023, 08:27
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
63% (01:48) correct
37%
(01:32)
wrong
based on 91
sessions
History
Date
Time
Result
Not Attempted Yet
During a Christmas dinner, Timmy enjoyed several candies for dessert. If each candy was either a $0.50 piece or a $0.40 piece, how many $0.50 candies did Timmy have?
(1) The total cost of the candies Timmy ate was $4.90.
(2) Timmy ate more $0.50 candies than $0.40 candies.
(1) The total cost of the candies Timmy ate was $4.90.
(2) Timmy ate more $0.50 candies than $0.40 candies.
31 Dec 2023, 08:27
Kudos
Bookmarks
Official Solution:
During a Christmas dinner, Timmy enjoyed several candies for dessert. If each candy was either a $0.50 piece or a $0.40 piece, how many $0.50 candies did Timmy have?
Let the number of $0.50 candies be x and the number of $0.40 candies be \(y\). The question asks to find the value of \(x\).
(1) The total cost of the candies Timmy ate was $4.90.>
This implies \(0.5x + 0.4y = 4.9\). Multiplying by 10 gives: \(5x + 4y = 49\). Don't rush to conclude that this is automatically insufficient, since we have one equation and two variables. We should still check because \(x\) and \(y\) must be integers here, so it's possible for the equation to have only one set of \((x, y)\) satisfying it. However, this is not the case for this specific equation. By trial and error, we can find that three sets of \((x, y)\) satisfy \(5x + 4y = 49\): (1, 11), (5, 6), and (9, 1). Not sufficient.
(2) Timmy ate more $0.50 candies than $0.40 candies.
This implies that \(x > y\). Clearly insufficient.
(1)+(2) Given that from (2) \(x > y\), the only pair of \((x, y)\) which satisfies this is (9, 1). Therefore, \(x = 9\). Sufficient.
Answer: C
During a Christmas dinner, Timmy enjoyed several candies for dessert. If each candy was either a $0.50 piece or a $0.40 piece, how many $0.50 candies did Timmy have?
Let the number of $0.50 candies be x and the number of $0.40 candies be \(y\). The question asks to find the value of \(x\).
(1) The total cost of the candies Timmy ate was $4.90.>
This implies \(0.5x + 0.4y = 4.9\). Multiplying by 10 gives: \(5x + 4y = 49\). Don't rush to conclude that this is automatically insufficient, since we have one equation and two variables. We should still check because \(x\) and \(y\) must be integers here, so it's possible for the equation to have only one set of \((x, y)\) satisfying it. However, this is not the case for this specific equation. By trial and error, we can find that three sets of \((x, y)\) satisfy \(5x + 4y = 49\): (1, 11), (5, 6), and (9, 1). Not sufficient.
(2) Timmy ate more $0.50 candies than $0.40 candies.
This implies that \(x > y\). Clearly insufficient.
(1)+(2) Given that from (2) \(x > y\), the only pair of \((x, y)\) which satisfies this is (9, 1). Therefore, \(x = 9\). Sufficient.
Answer: C
11 Apr 2024, 22:26
Kudos
Bookmarks
C would be the answer because A) only gives the total cost and B) only tells about the quantity so if we combine it we will get the answer.
