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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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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

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

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

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New post 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.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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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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New post 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..

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

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

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

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

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

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New post 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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