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:
Each of 435 bags contains at least one of the following [#permalink]
04 Apr 2005, 10:01
This topic is locked. If you want to discuss this question please re-post it in the respective forum.
Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?
(A) 256
(B) 260
(C) 316
(D) 320
(E) It cannot be determined from the given information.
In my opinion, D=320
that was really tough
I reasoned with ratios
I came up with these ratios:
only P=4
only R=40
only A=20
R and P=1
435(total)-210(A+A/r+a/p)=225
225/(p+r+PandR)=5
now P=5*4; R=5*40; R and P=5*1
so A=5P(given by the stem) -> A=5*4*5=100
total A+r+p=100+200+20=320
This one took me a while to compute. I hope this is considered long for the actual gmat...
I approached the solution via venn diagrams.
Assume we have three circles, one for raisins, almonds, and peanuts.
Let x=amount for peanuts only region
Let 10x=amount for raisins only region
Let 'a' be the region common to raisins and peanuts only.
Let b be the region common to raisins and almonds only.
Let d be the region common to peanuts and almonds only.
Let c be the region common to all (The center of the diagram)
Then:
The region for almonds only = 20a ( From statement in problem)
Also, x=.2(20a) (From statement in problem)
Also, 5x+b+c+d=210 (From statement in problem)
Finally:
You make it look so simple.....When I put all my variables down, I totally got lost in them, how did you know you had to solve for P only first? How come you did not right away solve A=20RP, when A=210 then RP=10.5(which may not be right!)
Any alternate explanations?This totally stumped me! _________________
Basically you just need to first translate all the words into algebra expressions and equations, then you try solve for them. When you see 10P+P+PR=225 you know if you have the relationship between P and PR you'd be able to solve for P, so you look at the equations you have written down and you find that you did have that relationship, so you use it. There may be many ways to solve for a problem, but the basic is the same and you just need to find the easiest route to go so you can save time. _________________
Keep on asking, and it will be given you;
keep on seeking, and you will find;
keep on knocking, and it will be opened to you.
The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds.
Basically you just need to first translate all the words into algebra expressions and equations, then you try solve for them. When you see 10P+P+PR=225 you know if you have the relationship between P and PR you'd be able to solve for P, so you look at the equations you have written down and you find that you did have that relationship, so you use it. There may be many ways to solve for a problem, but the basic is the same and you just need to find the easiest route to go so you can save time.
I'm back to this problem and confused again....
Is my starting =on going to be:
P+R+A+PR=435 right?
and at the point where I have A=20PR=5P , If I substiture A=210 then PR=210/20 which doesn't make sense.......How do you keep yourself from getting thrown off by equation results like these? _________________