It is currently 18 Feb 2018, 12:06

Close

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
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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A fruit salad mixture consists of apples, peaches, and grapes. There a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43792
A fruit salad mixture consists of apples, peaches, and grapes. There a [#permalink]

Show Tags

New post 08 Jan 2018, 23:00
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

93% (03:27) correct 7% (00:00) wrong based on 15 sessions

HideShow timer Statistics

A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 13 pounds per fruit, how many more pounds of apples than grapes does the mixture have?

A. 15
B. 12
C. 9
D. 6
E. 5
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2039
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: A fruit salad mixture consists of apples, peaches, and grapes. There a [#permalink]

Show Tags

New post 08 Jan 2018, 23:20
Bunuel wrote:
A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 13 pounds per fruit, how many more pounds of apples than grapes does the mixture have?

A. 15
B. 12
C. 9
D. 6
E. 5



If the mixture has an average of 13 pounds per fruit and there are 3 fruits,
the mixture contains a total of 39 pounds of fruit.

Let the total number of pounds of grapes be x.
The total number of pounds of apples is 3x.
Similarly, the total number of pounds of peaches is 5x/2

\(x+3x+\frac{5x}{2} = \frac{8x+5x}{2} = 39 => \frac{13x}{2} = 39 => x=6\)

We have been asked to find how many pounds extra of apples are
there in the mixture when compared to grapes, which is \(3x-x = 2x\) = 12(Option B)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Intern
Intern
avatar
B
Joined: 16 May 2017
Posts: 9
Location: India
GMAT 1: 770 Q51 V49
WE: Operations (Internet and New Media)
CAT Tests
Re: A fruit salad mixture consists of apples, peaches, and grapes. There a [#permalink]

Show Tags

New post 11 Jan 2018, 06:07
Let the total weight of grapes, peaches and apples be g, p and a resp.
Let the total no. of fruits be t.
Then p=5/2 g and a=3g.
Total wt= g + 5/2g +3g = 13g/2
Since the avg wt is 13 pounds, we have (13g/2)/t = 13
which implies g/t=2, or g=2t

Ques asks for diff(wt of apples and grapes)= 3g-g=2g, i.e. 2(2t)=4t. (A multiple of 4).
(t is the total no. of fruits therefore t is a nat no.)
B is the only option that is a multiple of 4, hence B.
Re: A fruit salad mixture consists of apples, peaches, and grapes. There a   [#permalink] 11 Jan 2018, 06:07
Display posts from previous: Sort by

A fruit salad mixture consists of apples, peaches, and grapes. There a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.