GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2018, 09:39

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

A grocer sells avocados for $1.50 each and pineapples for $2.00 each.

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50041
A grocer sells avocados for $1.50 each and pineapples for $2.00 each.  [#permalink]

Show Tags

New post 20 Mar 2018, 06:54
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

90% (01:08) correct 10% (01:53) wrong based on 27 sessions

HideShow timer Statistics

A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?

(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.
(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.

_________________

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

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 724
Re: A grocer sells avocados for $1.50 each and pineapples for $2.00 each.  [#permalink]

Show Tags

New post 20 Mar 2018, 07:05
Bunuel wrote:
A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?

(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.
(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.


We'll use simple numbers to help show ourselves the logic.
This is an Alternative approach.

(1) Say 1 pineapple was sold. Then 2*1 + 20 = 22 avocados were sold.
Say 2 pineapples were sold. Then 2*2 + 20 = 24 avocados were sold.
Insufficient.

(2) Say the grocer sold as many pineapples as possible. That is, he sold 152/2 = 76 pineapples and 2 avocados.
Now, say we try to contradict this by having the grocer sell as many avocados as possible. Even without calculating, we can SEE that this gives a different solution.
Insufficient.

Combined:
So if the grocer sells p pineapples and a avocados (1) gives us a = 2p + 20 and (2) gives us 1.5a + 2p = 155.
Even without solving, we can see this is 2 distinct linear equations with 2 variables and therefore has one solution. (which happens to be p=25, a = 70)
Sufficient.

(C) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS


Watch free GMAT tutorials in Math, Verbal, IR, and AWA.

GMAT test takers: Watch now the GMAC interview with the people who write the GMAT test!
We discussed the chances of improving a GMAT score; how important the first questions on the test are; what to do if you don’t have enough time to complete a whole section; and more.

You can watch all the action from the interview here.

Manager
Manager
User avatar
B
Joined: 05 Dec 2017
Posts: 52
Location: India
Concentration: Finance, International Business
WE: Analyst (Commercial Banking)
GMAT ToolKit User
Re: A grocer sells avocados for $1.50 each and pineapples for $2.00 each.  [#permalink]

Show Tags

New post 20 Mar 2018, 07:06
Bunuel wrote:
A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?

(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.
(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.



St1 : A = 2P+20
2 variables, 1 eq...Insufficient.

St2 : 1.5A + 2.0P = 155.0
Again 2 variables, 1 equation => insufficient

Combining 1 & 2
We can solve for number of Avocados

Hence C
PS Forum Moderator
User avatar
P
Joined: 16 Sep 2016
Posts: 314
GMAT 1: 740 Q50 V40
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: A grocer sells avocados for $1.50 each and pineapples for $2.00 each.  [#permalink]

Show Tags

New post 20 Mar 2018, 10:05
rkgstyle wrote:
Bunuel wrote:
A grocer sells avocados for $1.50 each and pineapples for $2.00 each. How many avocados did the grocer sell today?

(1) The number of avocados sold today is 20 more than twice the number of pineapples sold.
(2) Today the grocer received a total of $155 from the sale of avocados and pineapples.



St1 : A = 2P+20
2 variables, 1 eq...Insufficient.

St2 : 1.5A + 2.0P = 155.0
Again 2 variables, 1 equation => insufficient

Combining 1 & 2
We can solve for number of Avocados

Hence C


Also while using the variable method to solve such DS questions. It is advisable to see wether both the given equations are the same. Sometimes the statements are such the no new information is provided and in such cases the answer would be E.

Best,
Gladi
Intern
Intern
User avatar
B
Status: Preparing for GMAT
Joined: 07 Nov 2016
Posts: 16
Location: India
Concentration: Technology, Economics
GPA: 3.1
WE: Analyst (Consulting)
Re: A grocer sells avocados for $1.50 each and pineapples for $2.00 each.  [#permalink]

Show Tags

New post 20 Mar 2018, 12:19
The mathematical solution has already been provided by other users. I will try to give an oral explanation and arrive at the answer through mental maths!-

1. Looking at statement (1)- we dont know the total money earned by the Shopkeeper, so we cannot determine the total number of Avocados sold- Not Sufficient
2. Looking at statement (2)- we can have many combinations that will satisfy the equation- Not Sufficient

Now combining, we know the total amount earned by the shopkeeper and also the constraint on the proportion of avocados and pineapples. So we will get the exact number of avocados only by combining the 2 statements
GMAT Club Bot
Re: A grocer sells avocados for $1.50 each and pineapples for $2.00 each. &nbs [#permalink] 20 Mar 2018, 12:19
Display posts from previous: Sort by

A grocer sells avocados for $1.50 each and pineapples for $2.00 each.

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.