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
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
It appears that you are browsing the GMAT Club forum unregistered!
Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club
Registration gives you:
Tests
Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.
Applicant Stats
View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more
Books/Downloads
Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
One kilogram of a certain coffee blend consists of x [#permalink]
25 Mar 2012, 10:23
2
This post received KUDOS
25
This post was BOOKMARKED
00:00
A
B
C
D
E
Difficulty:
95% (hard)
Question Stats:
43% (02:47) correct
57% (01:54) wrong based on 801 sessions
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
Re: GMAT prep questions [#permalink]
25 Mar 2012, 10:28
13
This post received KUDOS
Expert's post
11
This post was BOOKMARKED
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
"One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee"
So, \(x+y=1\). Question: is \(x<0.8\).
(1) y > 0.15 --> \(1-x>0.15\) --> \(x<0.85\). Not sufficient.
Re: GMAT prep questions [#permalink]
05 Feb 2013, 01:17
3
This post received KUDOS
Expert's post
I tried doing this via using the concept of weighted average. Its given in statement 2 that 6.5x + 8.5y>=7.3. Now, when x=.5 and y=.5, then the c would be 7.5. (GIVEN FACT IS THAT X+Y=1.) Total distance in terms of parts is 2 units and in terms of numerical distance is 1. For every 2 part change, there is a 0.1 deviation in the numerical separation. Since c>=7.3( note the 0.2 deviation), the numerical deviation is 0.1. Hence x must be <=0.6. Regards. _________________
Re: One kilogram of a certain coffee blend consists of x [#permalink]
01 May 2013, 15:39
1
This post received KUDOS
x+y=1 c= 6.5x + 8.5y Question ---- is x<0.8 ?
As seen from above equations , for a given sum of x and y ( =1) , the value of C increases as x decreases and Y increases ( since y is multipled by greater number than x)
If x=0.8 , then y=0.2 and C= (6.5*0.8) + (8.5*0.2) = 6.9 .
Now if we increase value of x above 0.8 , the value of C decreases below 6.9 ( consider x=0.9 , then y would be 0.1 , which pulls down the value of C below 6.9--- as per the highlighted text above). And if we decrease the value of x below 0.8 , the value of c increases from 6.9 ( cos y is increased when x is reduced).
Statement 1 - y>0.15 , Y could be 0.2 , in which case x=0.8 ( No to the answer) or Y = 0.3 , in which case x=0.7 ( yes to the answer) Insufficient
Statement 2 C>=7.5 , as seen from above , for any c > 6.9 demands a x <0.8 . Hence sufficient.
Re: One kilogram of a certain coffee blend consists of x [#permalink]
03 May 2013, 20:29
It is really nice to find this place as it is full of fun. Looking forward for new friends. Hope I'll definitely enjoy my stay here. ood question and quite a learning...
Out of curiousity, can this sum be solved in less than 2mins that too under "GMAT exam" conditions that too at first sight??
Re: One kilogram of a certain coffee blend consists of x [#permalink]
16 Sep 2013, 02:15
3
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
imadkho wrote:
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
(1) y > 0.15
(2) C >= 7.30
Responding to a pm:
Quote:
I could solve most of the problems using the scale method, though I was finding it difficult to solve this particular question using it.
C = Avg cost of the mix = Cost of the blend = 6.5x + 8.5y
If you remember your weighted average formula, Avg = (C1*w1 + C2*w2)/(w1 + w2) = Avg Cost = (C1*x + C2*y)/(x + y) (x+y) is 1 kg since the weight of the blend is 1 kg. Avg Cost = C = (C1*x + C2*y) = (6.5x + 8.5y) So cost of type I coffee is $6.5/kg and cost of type II coffee is $8.5/kg.
So everything is set for you. All you have to do is plug in the values of x and y now. Question: Is x > 0.8?
(1) y > 0.15 If y is 0.16, x is 0.84 If y is 0.5, x is 0.5 This statement alone is not sufficient.
(2) C >= 7.30 Let's say C = 7.3 x/y = (8.5 - 7.3)/(7.3 - 6.5) = 12/8 = 3/2 (The Scale Method) x = 3/5 = 0.6 If C is greater than 7.3, x/y will get smaller and hence the value of x will keep getting smaller too. Say if C = 7.5, x/y = 1/1 x = 0.5 and so on...
So x can be at most 0.6. Hence it must be less than 0.8. Statement II alone is sufficient.
Re: One kilogram of a certain coffee blend consists of x [#permalink]
16 Sep 2013, 03:15
1
This post received KUDOS
Idk, in my opinion after you figure out that x+y=1 and that C=6.5x+8.5y (knowing that C can be 7.30), we have two equations and we can solve for X. Please correct me if I'm wrong but this was my line of reasoning and I've chosen B after 1min.
Re: One kilogram of a certain coffee blend consists of x [#permalink]
21 Apr 2014, 00:09
Initially I got the answer wrong but there was a calculation mistake. I am posting my approach anyway :D,
Question Says, One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
(1) y > 0.15
(2) C >= 7.30
Sol. x + y = 1 (from question statement) now, cost C = 6.5x + 8.5y = 6.5 (x + y) + 2y = 6.5 +2y------(eq. 1) we need to check whether x < 0.8 or y > 0.2 (since x + y = 1)
option 1). y > 0.15 clearly not sufficient alone.
option 2). C >= 7.30 from eq.1, 6.5 + 2y >= 7.30 => 2y => 0.80 => y>= 0.40 or x =< 0.60 Hence, sufficient.
One kilogram of a certain coffee blend consists of x [#permalink]
12 Jan 2015, 04:22
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
Re: One kilogram of a certain coffee blend consists of x [#permalink]
12 Jan 2015, 04:43
With x+y = 1, we can simplify the equation for C:
C = 6.5 + 2y
Statement 1: Not sufficient. x can still be anywhere between 0 and 0.85
Statement 2: Sufficient: 7.3 = 6.5 + 2y. This leads to y = 0.4 and x smaller than 0.8. If C is greater than 7.3, this will only increase y and therefore decrease x, which will therefore be smaller than 0.8 in any case.
Answer B. _________________
\(\sqrt{-1}\) \(2^3\) \(\Sigma\) \(\pi\) ... and it was delicious!
Re: One kilogram of a certain coffee blend consists of x [#permalink]
12 Jan 2015, 05:21
superjohn5566 wrote:
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
Re: One kilogram of a certain coffee blend consists of x [#permalink]
12 Jan 2015, 06:00
Expert's post
superjohn5566 wrote:
One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x < 0.8?
(1) y > 0.15
(2) C >= 7.30
Merging similar topics. Please refer to the solutions above. _________________
As I’m halfway through my second year now, graduation is now rapidly approaching. I’ve neglected this blog in the last year, mainly because I felt I didn’...
Perhaps known best for its men’s basketball team – winners of five national championships, including last year’s – Duke University is also home to an elite full-time MBA...
Hilary Term has only started and we can feel the heat already. The two weeks have been packed with activities and submissions, giving a peek into what will follow...