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There are certain chairs and tables loaded up in the shipping
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01 Feb 2022, 23:24
01 Feb 2022, 23:24
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Question Stats:
76% (02:32) correct
23% (03:48) wrong based on 17 sessions
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There are certain number of chairs and tables loaded up in the shipping container. All the chairs have equal weight and all the tables have equal weight as well. There are \(6 \) times as many chairs as there are tables. The weight of each table is \(9 \) times the weight of each chair. If the total weight of the tables is \(1,200 \) kilograms, then the total combined weight of the chairs and tables is how many kilograms?
A \(1,500\)
B \(1,800\)
C \(2,000\)
D \(2,400\)
E \(3,000\)
A \(1,500\)
B \(1,800\)
C \(2,000\)
D \(2,400\)
E \(3,000\)
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Re: There are certain chairs and tables loaded up in the shipping
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02 Feb 2022, 04:47
02 Feb 2022, 04:47
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Weight of each chair: x
Weight of each table: y
Furthermore, 99x = y
Number of chairs: c
Number of tables: t
Furthermore, c = 66t ==> t = c/66
Total weight of all tables: t*y = t*(99x) = (c/66)(99x) to put everything in terms of c and x.
This value is 1200kg, so (c/66)(99x) = (99/66)*cx = (3/2)cx = 1200.
It follows that cx = (2/3)1200 = 800
Total weight of all chairs: c*x = 800 -- this is the value we just found above!
Add this cx = 800 to the ty = 1200 and you get 800 + 1200 = 2000. Answer C.
Weight of each table: y
Furthermore, 99x = y
Number of chairs: c
Number of tables: t
Furthermore, c = 66t ==> t = c/66
Total weight of all tables: t*y = t*(99x) = (c/66)(99x) to put everything in terms of c and x.
This value is 1200kg, so (c/66)(99x) = (99/66)*cx = (3/2)cx = 1200.
It follows that cx = (2/3)1200 = 800
Total weight of all chairs: c*x = 800 -- this is the value we just found above!
Add this cx = 800 to the ty = 1200 and you get 800 + 1200 = 2000. Answer C.
General Discussion
Re: There are certain chairs and tables loaded up in the shipping
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24 Oct 2024, 03:50
24 Oct 2024, 03:50
Hello from the GRE Prep Club BumpBot!
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).
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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.
