I know this is a fairly simple problem, but something about the wording is really throwing me off
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
Answer is d
Thanks in advance!
Price of Basic Computer
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- ssmiles08
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The question stem simplified into equations is:
1p + 1c = 2500
1sc = 500 + 1c
so 1p + 1sc = 2500 + 500 (3000)
1p = 1/5(3000)
p = 600
plug it back into the original equation: 600 + 1c = 2500; 1c = 1900 (D)
1p + 1c = 2500
1sc = 500 + 1c
so 1p + 1sc = 2500 + 500 (3000)
1p = 1/5(3000)
p = 600
plug it back into the original equation: 600 + 1c = 2500; 1c = 1900 (D)
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- Scott@TargetTestPrep
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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:BS2009 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
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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