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In a certain apartment building, there are one-bedroom and two-bedroom
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16 Sep 2021, 09:41
16 Sep 2021, 09:41
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71% (02:56) correct
28% (02:39) wrong based on 21 sessions
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In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let R be the average rental price for all apartments in the building. If R is $5,600 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $10,400 higher that R, then what percentage of apartments in the building are two-bedroom apartments?
(A) 26%
(B) 35%
(C) 39%
(D) 42%
(E) 52%
(A) 26%
(B) 35%
(C) 39%
(D) 42%
(E) 52%
Re: In a certain apartment building, there are one-bedroom and two-bedroom
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16 Sep 2021, 19:40
16 Sep 2021, 19:40
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We have one bedroom & two-bedroom apartment.
Let's say the no of one bedroom apt \(= x\) & two bedroom apt \(= y\)
& avg of one bedroom apt \(= a\) & avg of two bedroom \(= b\)
R is the average rental price for all apartments in the building. If R is $5,600 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $10,400 higher than R
\(R = a + 5600\) & \(b = R + 10400\)
Average Rent \(R = \frac{xa + yb}{x + y}\)
\(R = \frac{x(R - 5600) + y(R + 10400)}{x + y}\)
\(Rx+Ry = Rx - 5600x + Ry + 10400y\)
\(5600x = 10400y\)
\(\frac{y}{x} = \frac{7}{13}\)
2 bedroom apt \(= \frac{7}{20} = 35\)%
Answer B
Let's say the no of one bedroom apt \(= x\) & two bedroom apt \(= y\)
& avg of one bedroom apt \(= a\) & avg of two bedroom \(= b\)
R is the average rental price for all apartments in the building. If R is $5,600 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $10,400 higher than R
\(R = a + 5600\) & \(b = R + 10400\)
Average Rent \(R = \frac{xa + yb}{x + y}\)
\(R = \frac{x(R - 5600) + y(R + 10400)}{x + y}\)
\(Rx+Ry = Rx - 5600x + Ry + 10400y\)
\(5600x = 10400y\)
\(\frac{y}{x} = \frac{7}{13}\)
2 bedroom apt \(= \frac{7}{20} = 35\)%
Answer B
General Discussion
Re: In a certain apartment building, there are one-bedroom and two-bedroom
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21 May 2024, 00:55
21 May 2024, 00:55
Hello from the GRE Prep Club BumpBot!
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
