At a supermarket, John spent 1/2 of his money on fresh fruit : GMAT Problem Solving (PS)
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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, 01:53
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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
[Reveal] Spoiler: OA

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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, 01:53
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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. _________________ Senior Manager Joined: 15 Jun 2010 Posts: 368 Schools: IE'14, ISB'14, Kellogg'15 WE 1: 7 Yrs in Automobile (Commercial Vehicle industry) Followers: 11 Kudos [?]: 369 [6] , given: 50 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] ### Show Tags 06 Aug 2012, 05:06 6 This post received KUDOS 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 Math Expert Joined: 02 Sep 2009 Posts: 36618 Followers: 7101 Kudos [?]: 93565 [1] , given: 10578 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] ### Show Tags 10 Aug 2012, 03:14 1 This post received KUDOS Expert's post 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, 02:43

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, 03:11
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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, 10:15
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?
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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, 01:11
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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: 147 Followers: 1 Kudos [?]: 23 [0], given: 81 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] ### Show Tags 09 Sep 2014, 22:06 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 Senior Manager Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 472 Followers: 22 Kudos [?]: 198 [0], given: 2 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] ### Show Tags 20 May 2016, 03:27 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 _________________ Jeffrey Miller Jeffrey Miller Head of GMAT Instruction Director Joined: 18 Oct 2014 Posts: 924 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Followers: 93 Kudos [?]: 235 [0], given: 69 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] ### Show Tags 20 May 2016, 07:56 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, 10:08
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] 20 May 2016, 10:08
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