Events & Promotions
| Last visit was: 14 Sep 2026, 09:00 |
It is currently 14 Sep 2026, 09:00 |
|
|
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.
Sep 1507:00 PM EDT
-09:00 PM EST
Elite scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thurs Sept. 15, 2026 - Nov. 15, 2027, 7:00pm-9:00pm EST
Sep 1808:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 21, 2026 - Oct. 9, 2027, 7:00pm-10:00pm EST
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?
19 Oct 2025, 09:25
Kudos
Bookmarks
15 cup has total melted chocolate = 15x40 = 600
15 cup has total raspberry puree = 15x60 = 900
difference = 300
we gotta make difference = 0
each cup has 20 extra raspberry puree..... so replacing 1 cup reduces 20 extra raspberry puree and adds 100 melted chocolate.... so difference reduces from replacing 1 cup is = 100+20 = 120
so we gotta replace 300/120 = 2.5 cups
15 cup has total raspberry puree = 15x60 = 900
difference = 300
we gotta make difference = 0
each cup has 20 extra raspberry puree..... so replacing 1 cup reduces 20 extra raspberry puree and adds 100 melted chocolate.... so difference reduces from replacing 1 cup is = 100+20 = 120
so we gotta replace 300/120 = 2.5 cups
