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The total price of a basic computer and printer are $2,500

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The total price of a basic computer and printer are $2,500 [#permalink]

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New post 20 Mar 2012, 09:33
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The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

I started doing this question, but got stuck.

Let x be the price of the basic computer and y be the price of the printer.

x + y = 2500 -------------------------------------------------------------------------------(1)

Price of the enhanced computer = x + 500 ---------------------------------------------------(2)

Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3)

Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D?
[Reveal] Spoiler: OA

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Re: Price of a Basic Computer [#permalink]

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enigma123 wrote:
The price of a basic computer and a printer was $2500. If the same computer had been purchased with an enhanced computer whose price was 500 more than the price of the basic computer, the the price of the printer would have been 1/5 of the total. What was the price of the basic computer?

A) 1500

B) 1600

C) 1750

D) 1900

E) 2000

I started doing this question, but got stuck.

Let x be the price of the basic computer and y be the price of the printer.

x + y = 2500 -------------------------------------------------------------------------------(1)

Price of the enhanced computer = x + 500 ---------------------------------------------------(2)

Price of the printer i.e. y = 1/5 (x+500) ------------------------------------------------------(3)

Solving 1 and 2 will give me x = 2000. But the answer is not correct, its D?


My try:

Here you have:
c=computer
p=price
Total price of the combo 1: c+p=2500
Total price of the combo 2: c+p+500 = 3000 (here you are not changing any price, only adding 500)

p=3000/5=600

Then:

C+600 = 2500
C=1900

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 20 Mar 2012, 13:18
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The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?
A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.

The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/5 of that new total price: P=1/5*$3,000=$600.

Plug this value in the first equation: C+600=$2,500 --> C=$1,900.

Answer: D.
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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 23 Mar 2012, 05:06
Let B, and P be price of basic computer and printer resp.
given B+P=2500

also advanced computer price = B+500 and P= 1/5(2500 + 500) = 600
Substituting this value in the first equation we get

B = 2500 -600 = 1900 hence D.

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 23 Mar 2012, 05:48
p +c=2500
p+c+2500=total(T)

Hence T= 3000

P= 1/5*3000=600

HENCE c=1900
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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 25 Mar 2014, 00:15
Did using one variable:

Price of basic computer = x

Price of printer = (2500 - x)

Price of enhanced computer = x + 500

Setting up the equation

\(2500 - x = \frac{1}{5} * (x+500+2500-x)\)

x = 1900 = Answer = D
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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 03 May 2014, 01:11
[quote="enigma123"]The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

]

total price = Bc + Printer = 2500-------1

\(1/5(Enhance Comp + P) = P\)
E.c + p =5p
4p = Ec
4p= B.c + 500
4.p = 2500 - p + 500 (from 1)
p =600
Bc = 1900

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 04 Aug 2016, 17:40
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Attached is a visual that should help.
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FullSizeRender(8).jpg [ 303.04 KiB | Viewed 3298 times ]


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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 16 Apr 2017, 17:42
Where does the $3,000 comes from??

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 16 Apr 2017, 23:54
mrmartins wrote:
Where does the $3,000 comes from??


It's explained in this post: https://gmatclub.com/forum/the-total-pr ... l#p1061990

Bunuel wrote:
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?
A. 1500
B. 1600
C. 1750
D. 1900
E. 2000

Let the price of basic computer be C and the price of the printer be P: C+P=$2,500.

The price of the enhanced computer will be C+500 and total price for that computer and the printer will be 2,500+500=$3,000. Now, we are told that the price of the printer is 1/5 of that new total price: P=1/5*$3,000=$600.

Plug this value in the first equation: C+600=$2,500 --> C=$1,900.

Answer: D.

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Collection of Questions:
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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 17 Apr 2017, 04:50
OK, I saw that answer, but I am sorry if I am missunderstanding, it might be because I am not an English native-speaker. The question says :
The total price of a basic computer and printer are $2,500. >> Total price = CB + P = $2,500. Ok
...If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, >> CE = CB+ 500, hence New Total Price = (CB + 500) + P. Here, from what I undestand, it doesn't say that the new total price is $500 more, just the isolated Computer Enhanced.
...,then the price of the printer would have been 1/5 of that total. >> And here it says that THE PRICE OF THE PRINTER, only the printer, is 1/5 of THAT TOTAL. So I was doing P = 1/5*2,500.

I am confused with the wording I think... :(

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Re: The total price of a basic computer and printer are $2,500 [#permalink]

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New post 20 Apr 2017, 16:44
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enigma123 wrote:
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total. What was the price of the basic computer?

A. 1500
B. 1600
C. 1750
D. 1900
E. 2000


We are given that the total price of a basic computer and a printer was $2,500. If we let a = the price of the basic computer and b = the price of the printer, we can create the following equation:

a + b = 2,500

We are next given that if the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/5 of that total.

If we let the price of the enhanced computer = 500 + a, then we can create the following equation:

(1/5)(500 + a + b) = b

Since a + b = 2,500, we can substitute 2,500 for a + b into the equation (1/5)(500 + a + b) = b.

(1/5)(500 + 2,500) = b

(1/5)(3,000) = b

600 = b

Since b = 600 and a + b = 2,500, we can determine the value of a.

a + 600 = 2,500

a = 1,900

Alternate Solution

The package price of the enhanced computer + printer is $3000. One-fifth of that total is $600, which is the price of the printer by itself. Since the package price of the basic computer + printer is $2,500, we subtract the printer price of $600, getting $1,900 as the price of the basic computer only.

Answer: D
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Re: The total price of a basic computer and printer are $2,500   [#permalink] 20 Apr 2017, 16:44
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