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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

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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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.

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

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26 Dec 2013, 02:11

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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.

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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.

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

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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..

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

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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?

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

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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

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

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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

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 _________________

Abhishek....

gmatclubot

Re: At a supermarket, John spent 1/2 of his money on fresh fruit
[#permalink]
20 May 2016, 11:08

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