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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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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, 06:06
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x/2+x/3+x/10 = 28x/30

2x/30=6, hence x =90
Ans C.
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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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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. _________________ Verbal Forum Moderator Joined: 16 Jun 2012 Posts: 1152 Location: United States Followers: 266 Kudos [?]: 2966 [2] , given: 123 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] Show Tags 26 Dec 2013, 02:11 2 This post received KUDOS 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.

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

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10 Aug 2012, 04:14
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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. _________________ Intern Joined: 14 Jun 2013 Posts: 4 Followers: 0 Kudos [?]: 1 [1] , given: 1 Re: At a supermarket, John spent 1/2 of his money on fresh fruit [#permalink] Show Tags 15 Jun 2013, 04:11 1 This post received KUDOS 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 Manager Joined: 26 Feb 2012 Posts: 116 Location: India Concentration: General Management, Finance WE: Engineering (Telecommunications) Followers: 0 Kudos [?]: 19 [0], given: 56 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 90-84=6 left for candy hence 90 will be the answer.. Rgds Prasannajeet Intern Joined: 15 Dec 2013 Posts: 3 Followers: 0 Kudos [?]: 1 [0], given: 4 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.

Hello, i don't understand the part of "$6*15=90" can you explain me please? Why 6 its multiplied by 15? Manager Joined: 07 Apr 2014 Posts: 145 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, 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 Director Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 711 Followers: 25 Kudos [?]: 343 [0], given: 2 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 _________________ Jeffrey Miller Jeffrey Miller Head of GMAT Instruction Director Joined: 18 Oct 2014 Posts: 917 Location: United States GMAT 1: 660 Q49 V31 GPA: 3.98 Followers: 95 Kudos [?]: 269 [0], given: 69 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] 20 May 2016, 11:08
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