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

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

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New post 04 Jul 2016, 09:01
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A
B
C
D
E

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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New post 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.

Answer is E.

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

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

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

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

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

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

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New post 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

Answer: B
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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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