Discussion
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?
*This question is included in Introduction to Nova GRE Math, question #12
| (A) | 42 |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 04/19/2012 08:36
Can you please tell me the strategy to solve this problem? Thanks
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.
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.
Posted: 05/25/2012 13:06
can someone please explain how this answer was gotten
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
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
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...
4x-50?
Vocabulary is much annoying than the mathmatical formula to me...
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
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
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!!
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!