In a legislative body of 200 people, the number of Democrats is 50 less ... ...
In a legislative body of 200 people, the number of Democrats is 50 less than 4 times the number of Republicans. If one fifth of the legislators are neither Republican nor Democrat, how many of the legislators are Republicans?
(A) 42
(B) ...
(C) ...
(D) ...
(E) ...
*This question is included in
Introduction to Nova GRE Math
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Posted: 04/19/2012 08:36
Can you please tell me the strategy to solve this problem? Thanks
Admin
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Posted: 04/19/2012 19:51
Assume the number of Democrats is represented by D, and Republicans by R. The neither/nor (independents) are represented by I. Here is how you set it up.
D + R + I = 200
I = ¹⁄₅ of 200 = 40
D + R + 40 = 200
so D + R = 160
and we know D = 4R - 50
Hence we have 2 unknowns with 2 equations, which will be easy to solve.
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Posted: 05/25/2012 13:06
can someone please explain how this answer was gotten
Admin
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Posted: 05/25/2012 16:05
I am going to solve this, and repeat the setup from a previous post.
Assume the number of Democrats is represented by D, and Republicans by R. The neither/nor (independents) are represented by I. Here is how to set it up.
D + R + I = 200
I = ¹⁄₅ of 200 = 40
D + R + 40 = 200
so D + R = 160
and we know D = 4R - 50
We have 2 unknowns with 2 equations. Let's solve:
D + R = 160, so D = 160 - R
Substituting into D = 4R - 50, we have
160 - R = 4R - 50
210 = 5R
R = 42
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Posted: 03/01/2013 10:26
"50 less than 4 time the number of x" is reffering
4x-50?
Vocabulary is much annoying than the mathmatical formula to me...
Admin
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Posted: 03/01/2013 18:13
Hi Yoshinori,
This is one of the quirks of English grammar.
"Less than" reverses the left-to-right order, so "x less than y" means y - x.
To use the left-to-right order, we could say "x minus y," which means x - y.
"x subtract y" also uses the left-to-right order, x - y.
But "x subtracted from y" reverses the left-to-right order: y - x.
Nova Press
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In a legislative body of 200 people, the number of Democrats is 50 less ... ...
Posted: 07/19/2013 22:25
Nakashari, looks like a verbal test more,than a math test, the terminology that GRE using in their test are so confusing to the tester!!
Admin
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Posted: 07/22/2013 17:10
Sudad, English is not an easy language to master. If one wants to study at the graduate level though, s/he has to master scientific English, including Math English!
