 It is currently 17 Jun 2019, 21:15 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

we will pick new questions that match your level based on your Timer History

Track

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. QOTD#20 One cup of nuts that contains exactly half peanuts a  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895  , given: 397

QOTD#20 One cup of nuts that contains exactly half peanuts a [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 80% (02:37) correct 20% (00:00) wrong based on 5 sessions
One cup of nuts that contains exactly half peanuts and half cashews is added to a bowl of nuts that is exactly one third peanuts, one third cashews, and one third almonds. This results in a three-cup mixture of nuts. What fraction of the new nut mixture is peanuts?

Drill 3
Question: 3
Page: 318

[Reveal] Spoiler: OA
$$\frac{7}{18}$$

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895 , given: 397

Re: QOTD#20 One cup of nuts that contains exactly half peanuts a [#permalink]
Expert's post
Explanation

The total mixture contains three cups, so the second bowl must contain two cups.

This 2-cup bowl of nuts divided into even thirds consists of $$\frac{2}{3}$$cups peanuts, cups cashews, $$\frac{2}{3}$$ and $$\frac{2}{3}$$ cups almonds.

Combining this with the 1-cup mixture of $$\frac{1}{2}$$ cup peanuts and $$\frac{1}{2}$$ cup cashews results in $$\frac{7}{6}$$ cups peanuts in a 3-cup mixture.

So, $$\frac{6}{3}=\frac{7}{18}$$ of the new nut mixture is peanuts.

Hence $$\frac{7}{18}$$ is correct.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director Joined: 09 Nov 2018
Posts: 508
Followers: 0

Kudos [?]: 27 , given: 1

Re: QOTD#20 One cup of nuts that contains exactly half peanuts a [#permalink]
sandy wrote:
Explanation

Combining this with the 1-cup mixture of $$\frac{1}{2}$$ cup peanuts and $$\frac{1}{2}$$ cup cashews results in $$\frac{7}{6}$$ cups peanuts in a 3-cup mixture.

So, $$\frac{6}{3}=\frac{7}{18}$$ of the new nut mixture is peanuts.

Hence $$\frac{7}{18}$$ is correct.

Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5

Kudos [?]: 111 , given: 4

Re: QOTD#20 One cup of nuts that contains exactly half peanuts a [#permalink]
Expert's post
sandy wrote:
One cup of nuts that contains exactly half peanuts and half cashews is added to a bowl of nuts that is exactly one third peanuts, one third cashews, and one third almonds. This results in a three-cup mixture of nuts. What fraction of the new nut mixture is peanuts?

Drill 3
Question: 3
Page: 318

[Reveal] Spoiler: OA
$$\frac{7}{18}$$

We have to add the peanuts in both cup and bowl.
Bowl is twice of cup so 2C..
Let us take the capacity of each cup as 6, ( from fractions 1/2 and 1/3)
1) Cup...
1/2 of 6 is peanuts, so 3 units is peanuts.
2) Bowl
1/3 of bowl = 1/3*(2C)=1/3*(2*6)=4

Total = 3+4=7 units of peanuts.
Total capacity of cup and bowl = C+2C=3C=3*6=18..

Peanuts as fraction of total = 7/18
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html Re: QOTD#20 One cup of nuts that contains exactly half peanuts a   [#permalink] 01 Jan 2019, 18:46
Display posts from previous: Sort by

QOTD#20 One cup of nuts that contains exactly half peanuts a  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.