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# A customer asks the clerk for a paintbrush and a bucket of whitewash

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Math Expert
Joined: 02 Sep 2009
Posts: 58327
A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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04 Jul 2016, 09:01
00:00

Difficulty:

45% (medium)

Question Stats:

77% (02:02) correct 23% (02:18) wrong based on 86 sessions

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A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B - 2)/6.

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Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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Updated on: 04 Jul 2016, 11:35
P: cost of 1 paint brush in cents; W: cost of 1 bucket of white wash in cents
P + W = 100*B cents (B dollars)

paintbrush costs 200 cents less than twice the price of a bucket of whitewash

So, P-200 = 2W ---> P=2W+200

P + W = 100*B cents (B dollars) ---> 2W+200+W = 100*B ---> 3W = 100*B - 200 ---> W = (100B - 200)/3

Price of half bucket of White wash = W/2 = (100B - 200)/6 dollars or (B-2)/6 in cents.

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Originally posted by 14101992 on 04 Jul 2016, 10:52.
Last edited by 14101992 on 04 Jul 2016, 11:35, edited 1 time in total.
Intern
Joined: 03 Dec 2012
Posts: 11
Location: United Kingdom
GPA: 3.57
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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04 Jul 2016, 11:00
1
Bunuel wrote:
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B + 2)/6.

Hi Bunuel,

Looks like the answer choices B and E are same. Could you please double check and correct the answers.
Math Expert
Joined: 02 Sep 2009
Posts: 58327
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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04 Jul 2016, 11:17
ReddyL wrote:
Bunuel wrote:
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B + 2)/6.

Hi Bunuel,

Looks like the answer choices B and E are same. Could you please double check and correct the answers.

Edited. Thank you.
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Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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04 Jul 2016, 11:31
1
Let paint price = P and white wash price = W

P+W = B

It's given that P= 2W-200/100

Substitute the Value of P

2W-2 + W = B

W= B+2/3.. so half price = (B+2) /6
Director
Joined: 20 Feb 2015
Posts: 767
Concentration: Strategy, General Management
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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05 Jul 2016, 03:09
nikhilbansal08 wrote:
Let paint price = P and white wash price = W

P+W = B

It's given that P= 2W-200/100

Substitute the Value of P

2W-2 + W = B

W= B+2/3.. so half price = (B+2) /6

let p and w be the price of paintbrush and bucket,
as per the question
p=2w-200
total price = w+2w-200=100B,
w=100(B-2)/3 is the price of one bucket in cents
price in dollars = (B-2)/3
price of half a bucket in dollars = (B-2)/6
Manager
Joined: 07 May 2015
Posts: 174
Location: India
GMAT 1: 660 Q48 V31
GPA: 3
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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11 Aug 2016, 22:21
Bunuel wrote:
ReddyL wrote:
Bunuel wrote:
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B + 2)/6.

Hi Bunuel,

Looks like the answer choices B and E are same. Could you please double check and correct the answers.

Edited. Thank you.

Looks like OA should be B and not E

P = 2w - 200
thus total price in cents as given should be
2w-200 +w = 100B
3w - 200 = 100 B
3w = 100 B+200
3w =b+2 (in dollars)
w/2 = (b+2)/6

Ans:B
Intern
Joined: 07 Mar 2016
Posts: 1
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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22 Aug 2016, 11:39
I agree with nipunjain14, OA should be B, not E.
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Joined: 04 Mar 2011
Posts: 2817
Re: A customer asks the clerk for a paintbrush and a bucket of whitewash  [#permalink]

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20 Mar 2018, 17:00
Bunuel wrote:
A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

A. (B + 200)/2.
B. (B + 2)/6.
C. (2B + 200)/3.
D. (B + 2)/3.
E. (B - 2)/6.

We can let w = the price of a bucket of whitewash in dollars. Since the paintbrush costs 200 cents, or 2 dollars, less than twice the price of a bucket of whitewash, the price of the paintbrush = 2w - 2 dollars. Since the total price is B dollars, we have:

w + 2w - 2 = B

3w = B + 2

w = (B + 2)/3

½w = [(B + 2)/3]/2 = (B + 2)/6

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Re: A customer asks the clerk for a paintbrush and a bucket of whitewash   [#permalink] 20 Mar 2018, 17:00
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