Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49303

At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
06 Aug 2012, 02:53
Question Stats:
89% (01:18) correct 11% (01:33) wrong based on 1690 sessions
HideShow timer Statistics




Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
06 Aug 2012, 02:53




Senior Manager
Joined: 15 Jun 2010
Posts: 328
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
06 Aug 2012, 06:06
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 610540580710(Long Journey): http://gmatclub.com/forum/from600540580710finallyachievedin4thattempt142456.html




Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
10 Aug 2012, 04:14



Manager
Joined: 26 Feb 2012
Posts: 102
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
15 Jun 2013, 03:43
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 9084=6 left for candy hence 90 will be the answer..
Rgds Prasannajeet



Intern
Joined: 14 Jun 2013
Posts: 4

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
15 Jun 2013, 04:11
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
Joined: 15 Dec 2013
Posts: 3

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
23 Dec 2013, 11:15
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
Joined: 16 Jun 2012
Posts: 1062
Location: United States

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
26 Dec 2013, 02:11
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
Joined: 07 Apr 2014
Posts: 115

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
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 = x6 taking LCM then (15x+10x+3x )/30 = x6 28x=30x180 x=90



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
20 May 2016, 04:27
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
_________________
Jeffery Miller
Head of GMAT Instruction
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Current Student
Joined: 18 Oct 2014
Posts: 872
Location: United States
GPA: 3.98

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
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
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4033
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
20 May 2016, 11:08
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
Joined: 16 Mar 2017
Posts: 1

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
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
Joined: 02 Jan 2017
Posts: 80
Location: Pakistan
Concentration: Finance, Technology
GPA: 3.41
WE: Business Development (Accounting)

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
17 Dec 2017, 16:18
can someone give a link to forum on theory of ratios? Experts , mods?



Math Expert
Joined: 02 Sep 2009
Posts: 49303

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
17 Dec 2017, 20:37



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1193
Location: India
WE: Engineering (Other)

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
07 Jan 2018, 18:16
Bunuel niks18Quote: 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.



PS Forum Moderator
Joined: 25 Feb 2013
Posts: 1214
Location: India
GPA: 3.82

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
07 Jan 2018, 19:46
adkikani wrote: Bunuel niks18Quote: 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
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12425
Location: United States (CA)

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
Show Tags
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 commondenominator 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 9084 = $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
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************




Re: At a supermarket, John spent 1/2 of his money on fresh fruit &nbs
[#permalink]
04 Feb 2018, 12:19






