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Democrat v. Republican

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Democrat v. Republican

by jcnissi » Wed Jun 16, 2010 3:39 pm

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A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?

a. 44
b. 53
c. 71
d. 80
e. 106
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by krazy800 » Wed Jun 16, 2010 4:03 pm
jcnissi wrote:A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?

a. 44
b. 53
c. 71
d. 80
e. 106

124 = D + R

R= D+18

124 = 2D + 18

D = 53

R =71

OA C

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by amising6 » Wed Jun 16, 2010 5:12 pm
let number of democrats be represented as D
number of republican represented by R
now we know D+R=124 ----(equation 1)

given
If there are 18 more republicans than democrats R=D+18 ---------(equation 2)
putting the value of R from equation 2 in equation 1:
R+D=124
D+18+D=124 since R=D+18 ---------(equation 2)
D=53
So R=124-53=71

so we can conclude there are 71 Republican in legislature
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by Scott@TargetTestPrep » Sat Nov 03, 2018 4:52 pm
jcnissi wrote:A certain state legislature consists of 124 members, each of whom is either a democrat or a republican. If there are 18 more republicans than democrats, how many republicans are in the legislature?

a. 44
b. 53
c. 71
d. 80
e. 106

We can create the equations:

R + D = 124

And

R - 18 = D

Thus:

R + R - 18 = 124

2R = 142

R = 71

Answer: C

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