Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Jun 1105:40 AM PDT
-12:00 PM PDT
Register for the GMAT Club Virtual MBA Spotlight fair, the biggest MBA fair of the year. You will have a chance to hear Admissions directors from almost every Top 20 program speak, network with peers, and more.
Jun 1111:00 AM PDT
-12:00 PM PDT
Magoosh students get into top business schools like MIT Sloan, HBS, Stanford GSB, Wharton and more! See why over 6 million students trust us for exam prep.- Jun 08
10:30 AM PDT
-11:30 AM PDT
oin us for an insightful conversation with Selena Salazar, a seasoned product manager who has successfully navigated her career through industry giants like Meta and Apple. 
Jun 1310:00 AM EDT
-10:30 AM EDT
Level up your Chicago Booth MBA application! Sia Admissions will be LIVE on June 13th for expert guidance on crafting your application that resonates with admission committees. Learn core themes, personal branding tips, and strategies and more.
Jun 1311:00 AM EDT
-12:00 PM EDT
TTP has received over 700 reviews on GMAT Club! This incredible milestone is a testament to our dedication to helping students score high on the GMAT for over a decade.
Jun 1412:00 PM EDT
-01:00 PM EDT
Have you ever wondered how to score a PERFECT 805 on the GMAT Focus Edition? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Jun 1505:30 AM PDT
-07:30 AM PDT
Students often dismiss common traps as silly mistakes, which can cost them 30-40 points on the GMAT. In this webinar, we’ll discuss the most frequent traps set by GMAT and the strategies needed to consistently avoid them.
Jun 1511:00 AM IST
-01:00 PM IST
In this webinar, Rajat Sadana, GMAT Club’s #1 rated expert will help you create a personalized study plan so that each one of you can visualize your journey to a top GMAT Focus Score.
Jun 1508:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Jun 1605:30 AM PDT
-07:30 AM PDT
Not only the typical inference questions but also all other CR questions on the GMAT require the ability to deduce from the given information. Come master how to draw inferences accurately and efficiently with Verbal Expert-Sunita Singhvi.- Jun 16
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.
A certain café sells bagels for $1.10 and muffins for $1.50
[#permalink]
29 Mar 2024, 05:22
29 Mar 2024, 05:22
5
Bookmarks
Show timer
00:00
A
B
C
D
E
Difficulty:
95%
(hard)
Question Stats:
26% (01:46) correct
74%
(03:47)
wrong
based on 19
sessions
A certain café sells bagels for $1.10 and muffins for $1.50. Last Wednesday, muffins accounted for M percent of all revenue from baked goods, and b percent of the baked goods sold were bagels. If the café sold only muffins and bagels last Wednesday, which of the following expresses the value of M in terms of b ?
A. \(\frac{25b}{375-b}\)
B. \(\frac{300-3b}{200}\)
C. \(\frac{1500-15b}{1500-4b}\)
D. \(\frac{20b}{300-3b}\)
E. \(\frac{375(100-b)}{375-b}\)
A. \(\frac{25b}{375-b}\)
B. \(\frac{300-3b}{200}\)
C. \(\frac{1500-15b}{1500-4b}\)
D. \(\frac{20b}{300-3b}\)
E. \(\frac{375(100-b)}{375-b}\)
Senior Manager
Joined: 29 Jun 2020
Posts: 377
Given Kudos: 220
Location: India
A certain café sells bagels for $1.10 and muffins for $1.50
[#permalink]
Updated on: 30 Mar 2024, 09:45
Updated on: 30 Mar 2024, 09:45
1
Kudos
1
Bookmarks
devashish2407 wrote:
A certain café sells bagels for $1.10 and muffins for $1.50. Last Wednesday, muffins accounted for M percent of all revenue from baked goods, and b percent of the baked goods sold were bagels. If the café sold only muffins and bagels last Wednesday, which of the following expresses the value of M in terms of b ?
A. \(\frac{25b}{375-b}\)
B. \(\frac{300-3b}{200}\)
C. \(\frac{1500-15b}{1500-4b}\)
D. \(\frac{20b}{300-3b}\)
E. \(\frac{375(100-b)}{375-b}\)
A. \(\frac{25b}{375-b}\)
B. \(\frac{300-3b}{200}\)
C. \(\frac{1500-15b}{1500-4b}\)
D. \(\frac{20b}{300-3b}\)
E. \(\frac{375(100-b)}{375-b}\)
There might be a traditiona way to slove this problem by determining the % & costs etc. But I feel this might be time consuming.
We know that m + b =100% as the café sold only muffins and bagels last Wednesday.
So let's assume that the no bagels are sold, means b=0;
Hence m = 100%.
Lets check the options, by substituting m=100, b=0; Only E full fills the equation. Hence E is the answer.
Originally posted by HarshaBujji on 29 Mar 2024, 22:32.
Last edited by HarshaBujji on 30 Mar 2024, 09:45, edited 1 time in total.
Last edited by HarshaBujji on 30 Mar 2024, 09:45, edited 1 time in total.
A certain café sells bagels for $1.10 and muffins for $1.50
[#permalink]
30 Mar 2024, 05:31
30 Mar 2024, 05:31
devashish2407
Given: A certain café sells bagels for $1.10 and muffins for $1.50. Last Wednesday, muffins accounted for M percent of all revenue from baked goods, and b percent of the baked goods sold were bagels.
Asked: If the café sold only muffins and bagels last Wednesday, which of the following expresses the value of M in terms of b ?
Let the number of bagels sold be x & number of muffins sold be y.
Revenue from baked goods = 1.1x + 1.5y
Revenue from muffins = 1.5y
M% = 1.5y/(1.1x + 1.5y) * 100%
(1.1x + 1.5y)*M = 150y
1.1Mx + 1.5My = 150y
1.1Mx = (150-1.5M)y
\(\frac{x}{y} = \frac{(150-1.5M)}{1.1M} = \frac{15}{11} * \frac{(100-M)}{M}\)
Baked goods sold = x+ y
b% = x/(x+y) *100%
(x + y)b = 100x
(100 - b)x = by
\(\frac{x}{y} =\frac{ b}{(100-b)} = \frac{(150-1.5M)}{1.1M} = \frac{1.5}{1.1} *\frac{(100-M)}{M}= \frac{15}{11} * \frac{(100-M)}{M} \)
\(\frac{(100-M)}{M} = \frac{11b}{15(100-b)}\)
\(\frac{M}{100} = \frac{15(100-b)}{(1500-4b)}\)
\(M = \frac{1500(100-b)}{(1500-4b)} = \frac{375(100-b)}{(375-b)}\)
IMO E
Given: A certain café sells bagels for $1.10 and muffins for $1.50. Last Wednesday, muffins accounted for M percent of all revenue from baked goods, and b percent of the baked goods sold were bagels.
Asked: If the café sold only muffins and bagels last Wednesday, which of the following expresses the value of M in terms of b ?
Let the number of bagels sold be x & number of muffins sold be y.
Revenue from baked goods = 1.1x + 1.5y
Revenue from muffins = 1.5y
M% = 1.5y/(1.1x + 1.5y) * 100%
(1.1x + 1.5y)*M = 150y
1.1Mx + 1.5My = 150y
1.1Mx = (150-1.5M)y
\(\frac{x}{y} = \frac{(150-1.5M)}{1.1M} = \frac{15}{11} * \frac{(100-M)}{M}\)
Baked goods sold = x+ y
b% = x/(x+y) *100%
(x + y)b = 100x
(100 - b)x = by
\(\frac{x}{y} =\frac{ b}{(100-b)} = \frac{(150-1.5M)}{1.1M} = \frac{1.5}{1.1} *\frac{(100-M)}{M}= \frac{15}{11} * \frac{(100-M)}{M} \)
\(\frac{(100-M)}{M} = \frac{11b}{15(100-b)}\)
\(\frac{M}{100} = \frac{15(100-b)}{(1500-4b)}\)
\(M = \frac{1500(100-b)}{(1500-4b)} = \frac{375(100-b)}{(375-b)}\)
IMO E
