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.
Apr 2212:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 1612:00 PM EDT
-11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
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
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
04 Oct 2024, 01:05
Kudos
Bookmarks
My personal solution for future reference:
We're given the fact that we have a 15 cup sauce made of 40% chocolate and 60% raspberry. We want to remove the sauce and add the same amount of removed sauce back as pure chocolate. This is tricky because when you remove the sauce, you're removing it with the 40/60 ratio, but adding back a 1/0 ratio sauce back (chocolate to raspberry ratio). However, we actually don't really need to care about the raspberry amount, because as long as we can figure out how to make the chocolate account for half the sauce, the problem is solved. In other words, we need to create an equation to figure out the optimal amount of chocolate.
Since the correct sauce mixture is exactly 50/50, we want to make sure the chocolate is half the sauce. Half of 15 is 7.5, so our goal is to make sure that we get 7.5 cups of chocolate in the final mixture. Let's say \(x\) is the amount of sauce we're removing and replacing with chocolate. We can construct the following equation:
\(.4(15 - x) + x = 7.5\)
This is because no matter how much sauce we take out, the ratio of it is going to still be 40% chocolate. However, the chocolate we're adding back is 100%. Now that we have this equation, we can solve for x:
\(6 - .4x + x = 7.5\)
\(.6x = 1.5\)
\(x = 2.5\)
Hence, our answer is B
We're given the fact that we have a 15 cup sauce made of 40% chocolate and 60% raspberry. We want to remove the sauce and add the same amount of removed sauce back as pure chocolate. This is tricky because when you remove the sauce, you're removing it with the 40/60 ratio, but adding back a 1/0 ratio sauce back (chocolate to raspberry ratio). However, we actually don't really need to care about the raspberry amount, because as long as we can figure out how to make the chocolate account for half the sauce, the problem is solved. In other words, we need to create an equation to figure out the optimal amount of chocolate.
Since the correct sauce mixture is exactly 50/50, we want to make sure the chocolate is half the sauce. Half of 15 is 7.5, so our goal is to make sure that we get 7.5 cups of chocolate in the final mixture. Let's say \(x\) is the amount of sauce we're removing and replacing with chocolate. We can construct the following equation:
\(.4(15 - x) + x = 7.5\)
This is because no matter how much sauce we take out, the ratio of it is going to still be 40% chocolate. However, the chocolate we're adding back is 100%. Now that we have this equation, we can solve for x:
\(6 - .4x + x = 7.5\)
\(.6x = 1.5\)
\(x = 2.5\)
Hence, our answer is B
04 Oct 2024, 04:28
Kudos
Bookmarks
vaishnogmat
A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead.
How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
In 15 cups: -
Melted chocolate = 40%*15 = 6 cups
Raspberry puree = 60%*15 = 9 cups
Let x cups of sauce be removed and replaced with pure melted chocolate.
After this action : -
Melted chocolate = 6 - 40%x + x = 6 + .6x
Raspberry puree = 9 - 60%x = 9 - .6x
Since the sauce is to be made 50% of each.
6 + .6x = 9 - .6x
1.2x = 3; x = 3/1.2 = 2.5 cups
IMO B
A dessert recipe calls for 50% melted chocolate and 50% raspberry puree to make a particular sauce. A chef accidentally makes 15 cups of the sauce with 40% melted chocolate and 60% raspberry puree instead.
How many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50% of each?
In 15 cups: -
Melted chocolate = 40%*15 = 6 cups
Raspberry puree = 60%*15 = 9 cups
Let x cups of sauce be removed and replaced with pure melted chocolate.
After this action : -
Melted chocolate = 6 - 40%x + x = 6 + .6x
Raspberry puree = 9 - 60%x = 9 - .6x
Since the sauce is to be made 50% of each.
6 + .6x = 9 - .6x
1.2x = 3; x = 3/1.2 = 2.5 cups
IMO B
17 Oct 2024, 01:15
Kudos
Bookmarks
vaishnogmat
Tol. cups = 15
Melted Chocolate sauce cups = 40% of 15 = 6
Raspberry sauce cups = 15 - 6 = 9
In-order to make 50% melted chocolate and 50% raspberry, ideally, the number of sauce cups needs to be equal (in this case it will be 7.5 cups).
Then I used the allegation method:
6 9
\ /
7.5
/ \
2.5 1.5
And hence, the answer comes out to be (B) 2.5
Can someone please ratify this method, if it is a correct thought process?
