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

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At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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06 Aug 2012, 02:53
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Difficulty:

5% (low)

Question Stats:

89% (01:18) correct 11% (01:33) wrong based on 1690 sessions

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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

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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06 Aug 2012, 02:53
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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 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 6 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 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 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.

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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15 Jun 2013, 03:43
1

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..

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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

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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?
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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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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 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 = x-6 taking LCM then (15x+10x+3x )/30 = x-6 28x=30x-180 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 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 _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Current Student Joined: 18 Oct 2014 Posts: 872 Location: United States GMAT 1: 660 Q49 V31 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
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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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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
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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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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.

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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

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

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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
at fruits and veg: spent - X/2 , Remaining - X/2 <- 1 - X/2
at meat - remaining - (X/2), spent X/6
messing the solution.

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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07 Jan 2018, 19:46
1
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
at fruits and veg: spent - X/2 , Remaining - X/2 <- 1 - X/2
at meat - remaining - (X/2), spent X/6
messing the solution.

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

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Re: At a supermarket, John spent 1/2 of his money on fresh fruit  [#permalink]

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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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: At a supermarket, John spent 1/2 of his money on fresh fruit &nbs [#permalink] 04 Feb 2018, 12:19
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