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

It is currently 19 Oct 2019, 07:49

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

At a supermarket, John spent 1/2 of his money on fresh fruit

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58446
At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 06 Aug 2012, 02:53
6
13
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:39) correct 10% (02:07) wrong based on 1637 sessions

HideShow timer Statistics

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

Practice Questions
Question: 15
Page: 154
Difficulty: 600

_________________
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58446
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 06 Aug 2012, 02:53
9
6
SOLUTION

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

John spent \(1-(\frac{1}{2}+\frac{1}{3}+\frac{1}{10})=\frac{1}{15}\) of his money on candy. Since we are told that he spent $6 on candy, then he spent total of \($6*15=90\) at the supermarket.

Answer: C.
_________________
Most Helpful Community Reply
Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 276
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Reviews Badge
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 06 Aug 2012, 06:06
7
x/2+x/3+x/10 = 28x/30

2x/30=6, hence x =90
Ans C.
_________________
Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html
General Discussion
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58446
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 10 Aug 2012, 04:14
2
SOLUTION

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

John spent \(1-(\frac{1}{2}+\frac{1}{3}+\frac{1}{10})=\frac{1}{15}\) of his money on candy. Since we are told that he spent $6 on candy, then he spent total of \($6*15=90\) at the supermarket.

Answer: C.
_________________
Manager
Manager
avatar
Joined: 26 Feb 2012
Posts: 88
Location: India
Concentration: General Management, Finance
WE: Engineering (Telecommunications)
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 15 Jun 2013, 03:43
5
Simply pick number from answer...

80 will be out since not divisible by 3.

Lets try 90..according to question 1/2 of 90= 45, 1/3 of 90=30 and 1/10 of 90=9 then just add all of them i.e 45+30+9=84. Now 90-84=6 left for candy hence 90 will be the answer..

Rgds
Prasannajeet
Intern
Intern
avatar
Joined: 14 Jun 2013
Posts: 4
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 15 Jun 2013, 04:11
5
1
Slightly different approach -

Let x be total amount, so

x/2+x/3+x/10+6=x, which turns out to be -
28x+180=30x
So x=90
Intern
Intern
avatar
Joined: 15 Dec 2013
Posts: 3
GMAT ToolKit User
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 23 Dec 2013, 11:15
1
Bunuel wrote:
SOLUTION

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

John spent \(1-(\frac{1}{2}+\frac{1}{3}+\frac{1}{10})=\frac{1}{15}\) of his money on candy. Since we are told that he spent $6 on candy, then he spent total of \($6*15=90\) at the supermarket.

Answer: C.


Hello, i don't understand the part of "$6*15=90" can you explain me please? Why 6 its multiplied by 15?
Retired Moderator
User avatar
Joined: 16 Jun 2012
Posts: 988
Location: United States
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 26 Dec 2013, 02:11
4
mandrake15 wrote:
Bunuel wrote:
SOLUTION

At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

John spent \(1-(\frac{1}{2}+\frac{1}{3}+\frac{1}{10})=\frac{1}{15}\) of his money on candy. Since we are told that he spent $6 on candy, then he spent total of \($6*15=90\) at the supermarket.

Answer: C.


Hello, i don't understand the part of "$6*15=90" can you explain me please? Why 6 its multiplied by 15?


Hello, as Bunuel explained above, John spent 1/15 of his money (remaining of his money) on candy
==> The remaining = 1/15 of his money = $6
==> total money spent = 15/15 of the remaining = 15*6 = 90

Hope it's clear.
_________________
Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMW Chief of Design.
Manager
Manager
avatar
Joined: 07 Apr 2014
Posts: 100
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 09 Sep 2014, 23:06
Bunuel wrote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

Practice Questions
Question: 15
Page: 154
Difficulty: 600



solution...

let x be the money spent..

x/2 +x/3 +x/10 = x-6
taking LCM then

(15x+10x+3x )/30 = x-6

28x=30x-180
x=90
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 20 May 2016, 04:27
2
1
Bunuel wrote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180


Solution:

Let's let T = total number of dollars spent at the supermarket. With this variable we can set up an equation and determine T.

We are given that John spent 1/2 of his money on fresh fruits and vegetables, or (1/2)T, 1/3 on meat products, or (1/3)T, and 1/10 on bakery products, or (1/10)T. We are also given that he spent the remaining $6 on candy. Since we know where all his money was allocated, we can sum these values together and set the sum to T. So we have:

(1/2)T + (1/3)T + (1/10)T + 6 = T

To get rid of the fractions we can multiply the entire equation by 30, and we obtain:

15T + 10T + 3T + 180 = 30T

28T + 180 = 30T

180 = 2T

T = 90

John spent $90 at the supermarket.

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Current Student
User avatar
Joined: 18 Oct 2014
Posts: 802
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 20 May 2016, 08:56
Total money spent= 1/2x+1/3x+1/10x= 28/30x

Money left = 2/30 or $6

2/30x=6
x= 90
C is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4773
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 20 May 2016, 11:08
1
Bunuel wrote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

Practice Questions
Question: 15
Page: 154
Difficulty: 600


Let total amount be 60x

Money spent on fresh fruits and vegetables = 30x
Money spent on meat products = 20x
Money spent on bakery products = 6x

Total money spent 56x

Money left (4x) = 6

So, x = 1.5

So, total money John had initially is 1.5 x 60 => $90

Hence answer will be $90
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Intern
Intern
avatar
Joined: 16 Mar 2017
Posts: 1
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 20 May 2017, 20:07
"How can one say, that candy is bought at supermarket only"

Answer 90 is correct when we assume the above statement else answer is 84.

Posted from my mobile device
Manager
Manager
avatar
B
Joined: 02 Jan 2017
Posts: 67
Location: Pakistan
Concentration: Finance, Technology
GMAT 1: 650 Q47 V34
GPA: 3.41
WE: Business Development (Accounting)
Reviews Badge
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 17 Dec 2017, 16:18
can someone give a link to forum on theory of ratios? Experts , mods?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58446
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 17 Dec 2017, 20:37
mtk10 wrote:
can someone give a link to forum on theory of ratios? Experts , mods?


3. Fractions, Decimals, Ratios and Proportions



For more:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread


Hope it helps.
_________________
IIMA, IIMC School Moderator
User avatar
V
Joined: 04 Sep 2016
Posts: 1366
Location: India
WE: Engineering (Other)
CAT Tests
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 07 Jan 2018, 18:16
Bunuel niks18

Quote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products.


I began on wrong note while solving this on my own. Say X- amount he initially had.
I did not interpret Q as At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 of his TOTAL money on meat products, and 1/10 (of his TOTAL money) on bakery products
and instead did spend/ receive at each stage:
at fruits and veg: spent - X/2 , Remaining - X/2 <- 1 - X/2
at meat - remaining - (X/2), spent X/6
messing the solution.

Can you add your two cents.
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Retired Moderator
avatar
D
Joined: 25 Feb 2013
Posts: 1178
Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 07 Jan 2018, 19:46
1
adkikani wrote:
Bunuel niks18

Quote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products.


I began on wrong note while solving this on my own. Say X- amount he initially had.
I did not interpret Q as At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 of his TOTAL money on meat products, and 1/10 (of his TOTAL money) on bakery products
and instead did spend/ receive at each stage:
at fruits and veg: spent - X/2 , Remaining - X/2 <- 1 - X/2
at meat - remaining - (X/2), spent X/6
messing the solution.

Can you add your two cents.


Hi,
Nothing much to add to your query because you read the question wrong. NO where it is mentioned that REMAINING AMOUNT is spent in other items. Hence you will have to work with total amount.

As far as solution is concerned, when you see fractions it is always better to work with smart nos. which is LCM of the fractions.

So let he had 30 to spend (LCM of 2, 3, 10)

So he spent 15+10+3=28

Remaining 2 is equivalent to 6

Hence 30 will be equivalent to 6*30/2=90

Posted from my mobile device
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15281
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 04 Feb 2018, 12:19
Hi All,

This question can be solved by TESTing THE ANSWERS.

We know that John has an unknown amount of money, but he spends it in the following way:
1/2 of the money is spent on fruit and vegetables
1/3 of the money is spent on meat
1/10 of the money is spent on bakery products.
AND then the remaining $6 is spent on candy.

Notice that the answer choices are all integers. Given that the fractions have a common-denominator of 30, the correct answer is likely a multiple of 30. By TESTing one of the two 'middle' multiples of 30 in the answers, we have a good chance of either finding the correct answer or being able to determine if we're 'too big' or 'too small' on the first try and get the correct answer without having to TEST more than one answer.

Let's TEST Answer C: $90

IF the total was $90, then...
$45 is spent on fruit and vegetables
$30 is spent on meat
$9 is spent on bakery products.

45+30+9 = 84
This leaves 90-84 = $6 which is exactly what the rest of the question states, so this MUST be the answer.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Manager
Manager
User avatar
G
Joined: 29 Jun 2018
Posts: 53
Location: India
GPA: 4
GMAT ToolKit User
Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

Show Tags

New post 23 Jun 2019, 06:24
Bunuel wrote:
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A) $60
(B) $80
(C) $90
(D) $120
(E) $180

Practice Questions
Question: 15
Page: 154
Difficulty: 600



Let's call the amount of money X; so this is 1/2 of an X, 1/3 of an X, 1/10 of an X, and 6.

So we know that all of these quantities combined are going to be X.
by a 30, to get rid

This is ... 28X + 180 = 30X.

So... 2X = 180. X = 90.

A lot of different ways of going about solving this; correct answer choice is C.
_________________
GMAT Club Bot
Re: At a supermarket, John spent 1/2 of his money on fresh fruit   [#permalink] 23 Jun 2019, 06:24
Display posts from previous: Sort by

At a supermarket, John spent 1/2 of his money on fresh fruit

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





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